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Regular graph with girth more than twice its diameter
Does a Moore graph with girth 5 and degree 57 exist? More unsolved problems in mathematics In graph theory, a Moore graph is a regular graph whose girth
Moore_graph
7-regular undirected graph with 50 nodes and 175 edges
while trying to classify all Moore graphs, and is the highest-order Moore graph known to exist. Since it is a Moore graph where each vertex has degree
Hoffman–Singleton_graph
Cubic graph with 10 vertices and 15 edges
bridgeless graph has a cycle-continuous mapping to the Petersen graph. More unsolved problems in mathematics In the mathematical field of graph theory, the
Petersen_graph
Cellular automaton neighborhood consisting of eight adjacent cells
Neighbourhood (graph theory) King's graph Chain code Von Neumann neighborhood Weisstein, Eric W. "Moore Neighborhood". MathWorld. Tyler, Tim, The Moore neighborhood
Moore_neighborhood
Longest distance between two vertices
girth is exactly 2 k + 1 {\displaystyle 2k+1} are the Moore graphs. Only finitely many Moore graphs exist, but their exact number is unknown. They provide
Diameter_(graph_theory)
Appendix:Glossary of graph theory in Wiktionary, the free dictionary. This is a glossary of graph theory. Graph theory is the study of graphs, systems of nodes
Glossary_of_graph_theory
Concept in graph theory
In graph theory, a strongly regular graph (SRG) is a regular graph G = (V, E) with v vertices and degree k such that for some given integers λ , μ ≥ 0
Strongly_regular_graph
Bipartite graph where each node of 1st set is linked to all nodes of 2nd set
nonplanar graph contains either K3,3 or the complete graph K5 as a minor; this is Wagner's theorem. Every complete bipartite graph. Kn,n is a Moore graph and
Complete_bipartite_graph
Regular graph with fewest possible nodes for its girth
known that an (r, g)-graph exists for any combination of r ≥ 2 and g ≥ 3. It follows that all (r, g)-cages exist. If a Moore graph exists with degree r
Cage_(graph_theory)
3-regular graph with 30 vertices and 45 edges
unique smallest cubic graph of girth 8, it is a cage and a Moore graph. It is bipartite, and can be constructed as the Levi graph of the generalized quadrangle
Tutte–Coxeter_graph
Graph where each vertex has the same number of neighbors
vertices. Random regular graph Strongly regular graph Moore graph Cage graph Highly irregular graph Chen, Wai-Kai (1997). Graph Theory and its Engineering
Regular_graph
-minor-free graph is an apex graph Does a Moore graph with girth 5 and degree 57 exist? Do there exist infinitely many strongly regular geodetic graphs, or any
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
American mathematician and computer scientist
given by a regular tree with the same degree. The graphs matching this bound were named Moore graphs by Hoffman & Singleton (1960). With Claude Shannon
Edward_F._Moore
Balanced complete multipartite graph
graph T(n,2) is a complete bipartite graph and, when n is even, a Moore graph. When r is a divisor of n, the Turán graph is symmetric and strongly regular
Turán_graph
In graph theory, the degree diameter problem is the problem of finding the largest possible graph for a given maximum degree and diameter. The Moore bound
Table of the largest known graphs of a given diameter and maximal degree
Table_of_the_largest_known_graphs_of_a_given_diameter_and_maximal_degree
Finding the largest graph of given diameter and degree
bounded above by the Moore bound; for 1 < k and 2 < d, only the Petersen graph, the Hoffman-Singleton graph, and possibly graphs (not yet proven to exist)
Degree_diameter_problem
Algorithm for finding the shortest paths in graphs
for the same problem, but more versatile, as it is capable of handling graphs in which some of the edge weights are negative numbers. The algorithm was
Bellman–Ford_algorithm
Matrix representation of a graph
In the mathematical field of graph theory, the Laplacian matrix, also called the graph Laplacian, admittance matrix, Kirchhoff matrix, or discrete Laplacian
Laplacian_matrix
Graph with 24 vertices and 36 edges
smallest cubic graph of girth 7). It is also the smallest cubic cage that is not a Moore graph. First discovered by Sachs but unpublished, the graph is named
McGee_graph
Graph property
graphs. The Moore graphs. The collinearity graph of a regular near polygon. The Wells graph and the Sylvester graph. Strongly regular graphs are the distance-regular
Distance-regular_graph
American mathematician (1924–2021)
eigenvalue theory of graphs. Hoffman and Robert Singleton constructed the Hoffman–Singleton graph, which is the unique Moore graph of degree 7 and diameter
Alan_J._Hoffman
Writing paper with a grid
Graph paper, coordinate paper, grid paper, or squared paper is writing paper that is printed with fine lines making up a regular grid. It is available
Graph_paper
Diagram of behavior of finite state systems
classic form of state diagram for a finite automaton (FA) is a directed graph with the following elements (Q, Σ, Z, δ, q0, F): Vertices Q: a finite set
State_diagram
Algorithm to search the nodes of a graph
for the graph itself, which may vary depending on the graph representation used by an implementation of the algorithm. When working with graphs that are
Breadth-first_search
cycle graph (degree two), the Petersen graph (degree three), and the Hoffman–Singleton graph (degree seven). Only one more of these Moore graphs can exist
McKay–Miller–Širáň_graph
Recursively defined sequence of continuous closed plane fractal curves
has media related to Sierpinski curve. Hilbert curve Koch snowflake Moore graph Murray polygon Peano curve List of fractals by Hausdorff dimension Recursion
Sierpiński_curve
Graph of king moves on a chessboard
In graph theory, a king's graph is a graph that represents all legal moves of the king chess piece on a chessboard where each vertex represents a square
King's_graph
Unsolved problem in computational complexity theory
computer science Can the graph isomorphism problem be solved in polynomial time? More unsolved problems in computer science The graph isomorphism problem is
Graph_isomorphism_problem
Maximal subgraph whose vertices can reach each other
In graph theory, a component of an undirected graph is a connected subgraph that is not part of any larger connected subgraph. The components of any graph
Component_(graph_theory)
Observation on the growth of integrated circuit capacity
the end of the 1970s, Moore's law became known as the limit for the number of transistors on the most complex chips. The graph at the top of this article
Moore's_law
Type of diagrammatic notation for propositional logic
An existential graph is a type of diagrammatic or visual notation for logical expressions, created by Charles Sanders Peirce, who wrote on graphical logic
Existential_graph
Subgraph induced by all nodes linked to a given node of a graph
In graph theory, the neighbourhood of a vertex v in a graph G is the subgraph of G induced by all the vertices that are connected to v by an edge (vertices
Neighbourhood_(graph_theory)
Flow graph invented by Claude Shannon
A signal-flow graph or signal-flowgraph (SFG), invented by Claude Shannon, but often called a Mason graph after Samuel Jefferson Mason who coined the
Signal-flow_graph
Graph that misrepresents data
In statistics, a misleading graph, also known as a distorted graph, is a graph that misrepresents data, constituting a misuse of statistics and with the
Misleading_graph
Graph of chess rook moves
In graph theory, a rook's graph is an undirected graph that represents all legal moves of the rook chess piece on a chessboard. Each vertex of a rook's
Rook's_graph
Computational problem of graph theory
In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights
Shortest_path_problem
Type of discrete calculus
mathematics, calculus on finite weighted graphs is a discrete calculus for functions whose domain is the vertex set of a graph with a finite number of vertices
Calculus on finite weighted graphs
Calculus_on_finite_weighted_graphs
Type of graph in mathematics
specifically in graph theory, a polytree (also called directed tree, oriented tree or singly connected network) is a directed acyclic graph whose underlying
Polytree
Clustering and community detection algorithm
function aggregateGraph returns a new graph whose vertices are the partition of the old graph, and whose edges are calculated using the old graph. This function
Louvain_method
while author and former nonprofit CEO Wes Moore won the Democratic nomination. Political observers gave Moore a strong chance of defeating Cox in the general
2022 Maryland gubernatorial election
2022_Maryland_gubernatorial_election
Machine whose output is determined by its state and inputs
to a Mealy automata a Helix directed graph[clarification needed] (S × Σ, (x, i) → (T(x, i), G(x, i))). This graph has as vertices the couples of state
Mealy_machine
On the number of spanning trees in a graph
mathematical field of graph theory, Kirchhoff's theorem or Kirchhoff's matrix tree theorem is a theorem about the number of spanning trees in a graph. It states
Kirchhoff's_theorem
Prism with a 3-sided base
Graph Theoretical Approaches to Chemical Reactivity. Springer. doi:10.1007/978-94-011-1202-4. ISBN 978-94-011-1202-4. Kinsey, L. Christine; Moore, Teresa
Triangular_prism
American computer scientist
types of quantum algorithm to solve graph isomorphism, and attack-resistant quantum cryptography. In 2013, Moore became the inaugural member of the Zachary
Cristopher_Moore
Optimization technique
As applied in the field of computer vision, graph cut optimization can be employed to efficiently solve a wide variety of low-level computer vision problems
Graph cuts in computer vision and artificial intelligence
Graph_cuts_in_computer_vision_and_artificial_intelligence
Concept in network science
stochastic block model is a generative model for random graphs. This model tends to produce graphs containing communities, subsets of nodes characterized
Stochastic_block_model
Solid with six equal square faces
drawing a graph with vertices connected with an edge in a plane. Such a graph is called the cubical graph, a special case of the hypercube graph. The cube
Cube
Statement in mathematical combinatorics
its graph-theoretic forms, states that one will find monochromatic cliques in any edge labelling (with colours) of a sufficiently large complete graph. As
Ramsey's_theorem
Clustering and community detection algorithm
well-connected. Consider, for example, the following graph: Three communities are present in this graph (each color represents a community). Additionally
Leiden_algorithm
Knowledge Graph which when clicked, makes confetti explode. "panipuri( see it )" will show three types of panipuris in the Knowledge Graph, which when
List_of_Google_Easter_eggs
Country in northwestern Europe
archived from the original on 5 July 2019, retrieved 10 December 2019 Tables, Graphs and Maps Interface (TGM) table. Eurostat (26 February 2013). Retrieved 12
United_Kingdom
governor of Colorado (2011–2019), and candidate for president in 2020 Wes Moore, 63rd governor of Maryland (2023–present) and CEO of the Robin Hood Foundation
2028 United States presidential election
2028_United_States_presidential_election
algorithm for constructing maximum-cardinality matching on graphs. Coloring algorithm: algorithms for graph (vertex or edge) coloring (subject to constraints,
List_of_algorithms
Graph where most nodes are reachable in a small number of steps
network example Hubs are bigger than other nodes A small-world network is a graph characterized by a high clustering coefficient and low distances. In an
Small-world_network
Instantaneous rate of change (mathematics)
chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point. The tangent line is the best linear approximation
Derivative
Mathematical parameter in percolation theory
doi:10.1142/S012918310600962X. S2CID 119398198. Mertens, Stephan; Cristopher Moore (2018). "Percolation Thresholds and Fisher Exponents in Hypercubic Lattices"
Percolation critical exponents
Percolation_critical_exponents
Topics referred to by the same term
(mathematics), a concept in topology Neighbourhood (graph theory), a grouping in graph theory the Moore neighborhood and Von Neumann neighborhood, used in
Neighbourhood (disambiguation)
Neighbourhood_(disambiguation)
"MLB's Winning and Losing Efforts to Conquer TV, Part I: The Strike". Fan Graphs. Jim McConville (November 6, 1995). "MLB sews up deal with Fox, NBC. (Major
History of Major League Baseball on NBC
History_of_Major_League_Baseball_on_NBC
Number of cops needed to catch a robber on a graph
In graph theory, a branch of mathematics, the cop number or copnumber of an undirected graph is the minimum number of cops that suffices to ensure a win
Cop_number
Mathematical device used in proof of the four colour theorem
189–194. doi:10.1006/jctb.1998.1827. Albertson, M. O.; Moore, E. H. (1999). "Extending Graph Colorings". Journal of Combinatorial Theory, Series B. 77:
Kempe_chain
Intelligence of machines
21), Domingos (2015, Chapter 4) Gradient calculation in computational graphs, backpropagation, automatic differentiation: Russell & Norvig (2021, sect
Artificial_intelligence
Search algorithm
Monte-Carlo method to bias search into the largest Voronoi regions of a graph in a configuration space. Some variations can even be considered stochastic
Rapidly_exploring_random_tree
Symbol representing the word "and" (&)
to children in the US and elsewhere. An example may be seen in the M. B. Moore book The Dixie Primer, for the Little Folks (1863). In her novel Adam Bede
Ampersand
Social networking service owned by Meta Platforms
that "Facebook was surprised we were able to suck out the whole social graph, but they didn't stop us once they realised that was what we were doing"
Square matrix without an inverse
or apply forces in certain directions. In graph theory and network physics, the Laplacian matrix of a graph is inherently singular (it has a zero eigenvalue)
Singular_matrix
English founder of modern nursing (1820–1910)
statistical graphics and the iconography of Florence Nightingale's polar area graph," BSHM Bulletin: Journal of the British Society for the History of Mathematics
Florence_Nightingale
Coronet Films; the Chudnovsky brothers; fractals come from plotting on a graph imaginary numbers against real numbers and have self-similarity, and Ian
List_of_Equinox_episodes
Group of islands in the South Atlantic
"Tristan Da Cunha Climate Guide to the Average Weather & Temperatures with Graphs Elucidating Sunshine and Rainfall Data & Information about Wind Speeds &
Tristan_da_Cunha
Mathematical model of computation
input: The turnstile state machine can also be represented by a directed graph called a state diagram (above). Each state is represented by a node (circle)
Finite-state_machine
President of the United States from 2009 to 2017
Graph of Obama's approval ratings per Gallup
Barack_Obama
Jason H. Moore is an artificial intelligence (AI) scientist, biomedical informatician, and human geneticist. He is Chair of the Department of Computational
Jason_H._Moore
Graph of opinion polls conducted in Scotland
2024 United Kingdom general election in Scotland
2024_United_Kingdom_general_election_in_Scotland
First electronic general-purpose digital computer
work on the computer began in secret at the University of Pennsylvania's Moore School of Electrical Engineering the following month, under the code name
ENIAC
American social networking service
Gizzard Scala framework for creating distributed datastores, the distributed graph database FlockDB, the Finagle library for building asynchronous RPC servers
X_(social_network)
Game of strategy
(the heaps). The evolution graph of the game of nim with three heaps is the same as three branches of the evolution graph of the Ulam–Warburton automaton
Nim
American mathematician (1921–2005)
American mathematician, who specialized in graph theory. He was widely recognized as one of the "fathers" of modern graph theory. Harary was a master of clear
Frank_Harary
with hundreds of collaborators. He worked on problems in combinatorics, graph theory, number theory, classical analysis, approximation theory, set theory
List of atheists in science and technology
List_of_atheists_in_science_and_technology
2019 environmental documentary film by Jeff Gibbs
produced by Jeff Gibbs. The film was executively produced by Michael Moore. Moore released it on YouTube for free viewing on April 21, 2020, the eve of
Planet_of_the_Humans
about these graphs are available in a paper by the author. Family of digraphs found by Faber & Moore (1988). Digraph found by Faber & Moore (1988). The
Table of vertex-symmetric digraphs
Table_of_vertex-symmetric_digraphs
actor (Scarface, Carlito's Way, Punchline). E. Sampathkumar, 88, Indian graph theorist, lung infection. Annick de Souzenelle, 101, French writer. Talos
Deaths_in_August_2024
On August 7, Stephen Moore made an impromptu presentation at the Oval Office to defend Trump's decision, showing a series of graphs favorable to him. With
False or misleading statements by Donald Trump (second term)
False_or_misleading_statements_by_Donald_Trump_(second_term)
measure, abolishing term limits for all elected positions. The following graph shows the margin of victory of the Democratic Party over the runner-up in
Mayoral elections in Washington, D.C.
Mayoral_elections_in_Washington,_D.C.
phone call and e-mail logs of American citizens to create sophisticated graphs of their social connections that can identify their associates, their locations
Timeline of Snowden disclosures
Timeline_of_Snowden_disclosures
Cellular automaton neighborhood consisting of four adjacent cells
number (sequence A266213 in the OEIS). Moore neighborhood Neighbourhood (graph theory) Taxicab geometry Lattice graph Pixel connectivity Chain code Toffoli
Von_Neumann_neighborhood
Statistical test of whether two populations have equal means
Formula for Degrees of Freedom in the Two-Sample t-Test" (PDF). p. 6. Yates; Moore; Starnes (2008). The Practice of Statistics (3rd ed.). New York: W. H. Freeman
Welch's_t-test
Continent
Upper Saddle River, New Jersey: Prentice Hall. ISBN 978-0-13-745852-3. Moore, Clark D., and Ann Dunbar (1968). Africa Yesterday and Today, in series
Africa
Web browser developed by Google
100% growth over last year". June 28, 2012. "Stats Counter US Monthly bar graph". June 2013. Retrieved July 25, 2013. Fox, Zoe (August 14, 2013). "43% of
Google_Chrome
Public high school in Oconto Falls, Wisconsin, USA
This graph was using the legacy Graph extension, which is no longer supported. It needs to be converted to the new Chart extension.
Oconto_Falls_High_School
Overview of and topical guide to algorithms
matching Hopcroft–Karp algorithm Blossom algorithm Graph coloring Clique problem Independent set (graph theory) Hamiltonian path problem Travelling salesman
Outline_of_algorithms
Pier in Manhattan, New York
Browsing SageTV Santa Tracker Schemer Scholar Search AI Overviews Knowledge Graph SafeSearch Searchwiki Sheets Shoploop Shopping Sidewiki Sites Slides Snapseed
Pier_57
Proprietary language for AI accelerators
Jacques (2019). MLIR Primer: A Compiler Infrastructure for the End of Moore's Law (Technical report). Retrieved 2022-09-30. Lattner, Chris; Amini, Mehdi;
Mojo_(programming_language)
American politician (born 1954)
disinformation" is effective "because it's portrayed to the public with graphs and figures and what appears to be scientific data. He has perfected the
Robert_F._Kennedy_Jr.
Hospital in New Jersey, United States
to expand Graystone Hospital. End of year patient population is shown in graph to right. A decision to close the hospital was made in 1995 by Governor
Marlboro_Psychiatric_Hospital
statistics for India – online on Bluenomics India comparing with China population projection graph Based on data from database of UN Population Division.
Demographics_of_India
veto. In June 2025, American evangelical leader and businessman Johnnie Moore Jr. was appointed the executive chairman of the Gaza Humanitarian Foundation
United States support for Israel in the Gaza war
United_States_support_for_Israel_in_the_Gaza_war
Mathematical metric
functions, the Chebyshev distance generalizes to the uniform norm. King's graph Taxicab geometry Cyrus. D. Cantrell (2000). Modern Mathematical Methods
Chebyshev_distance
Network analysis and visualization package for Microsoft Excel
elements of a graph structure such as edges and nodes. NodeXL can also import a variety of graph formats such as edgelists, adjacency matrices, GraphML, UCINet
NodeXL
American multinational technology company
The Wall Street Journal. Retrieved January 14, 2022. "Five year history graph of (NASDAQ:MSFT) stock". ZenoBank. AlphaTrade. September 29, 2009. Archived
Microsoft
Natural satellite orbiting Earth
(Explanatory Supplement to the Astronomical Ephemeris, 1961, at p.107). See graph in Sun#Life phases. At present, the diameter of the Sun is increasing at
Moon
(combinatorics) Graph structure theorem (graph theory) Grinberg's theorem (graph theory) Grötzsch's theorem (graph theory) Hajnal–Szemerédi theorem (graph theory)
List_of_theorems
MOORE GRAPH
MOORE GRAPH
Girl/Female
Irish
Great.
Surname or Lastname
English
English : from Middle English more ‘moor’, ‘marsh’, ‘fen’, ‘area of uncultivated land’ (Old English mÅr), hence a topographic name for someone who lived in such a place or a habitational name from any of the various places named with this word, as for example Moore in Cheshire or More in Shropshire.English : from Old French more ‘Moor’ (Latin maurus). The Latin term denoted a native of northwestern Africa, but in medieval England the word came to be used informally as a nickname for any swarthy or dark-skinned person.English : from a personal name (Latin Maurus ‘Moor’). This name was borne by various early Christian saints. The personal name was introduced to England by the Normans, but it was never as popular in England as it was on the Continent.Irish : Anglicized form of Gaelic Ó Mórdha ‘descendant of Mórdha’, a byname meaning ‘great’, ‘proud’, or ‘stately’.Scottish : see Muir.Welsh : from Welsh mawr ‘big’, applied as a nickname or distinguishing epithet.
Boy/Male
Muslim/Islamic
More glorious more illustrious
Boy/Male
Irish French
Surname.
Surname or Lastname
English
English : variant spelling of Boor.Possibly a shortened form of Dutch van den Boore, a variant of van den Borne (see Borne).
Girl/Female
Indian, Telugu
More
Surname or Lastname
English
English : variant spelling of Moores.Dutch : nickname for a man of swarthy complexion or ethnic name for a North African, from moor ‘Moor’ (see Moore 2).Dutch : patronymic from a short form of the Latin personal name Mauritius (see Morris 1).
Girl/Female
Australian, Ghana
More and More
Boy/Male
British, English, French, Irish
From the Moors; Dark Skinned; Surname
Boy/Male
Arabic, Muslim
More Delicate; More Gracious
Boy/Male
American, Australian, British, Christian, Dutch, English, French, German, Irish, Jamaican, Latin
Son of More; Sea-strength; Moor; Dark Skinned
Boy/Male
Muslim
More delicate, More gracious
Boy/Male
French English
Dark skinned.
Boy/Male
French
Dark skinned.
Boy/Male
Arabic, Muslim
More Delicate; More Gracious
Surname or Lastname
English
English : topographic name for someone who lived on the moors (see Moore 1).English : patronymic from Moore as a personal name (see Moore 3).
Girl/Female
Anglo Saxon Irish Scottish
Bitter.
Surname or Lastname
English, Irish, Scottish, and Welsh
English, Irish, Scottish, and Welsh : variant spelling of Moore.
Boy/Male
Arabic, Muslim
More Elegant; More Graceful; More Humorous
Boy/Male
American, Australian, British, Celtic, English, French, Italian
From the Moors; Dark Skinned
MOORE GRAPH
MOORE GRAPH
Boy/Male
Gaelic Teutonic
Intelligent.
Girl/Female
Indian, Sanskrit
Goddess of Speach
Boy/Male
Indian, Punjabi, Sikh
Love for the Lively
Girl/Female
Christian & English(British/American/Australian)
Clear and Bright
Boy/Male
Welsh
Legendary son of Talyessin.
Girl/Female
Muslim/Islamic
Aromatic
Girl/Female
Indian
Faithful, To believe
Boy/Male
Indian
The delayer
Boy/Male
Hindu, Indian, Sanskrit
Twin
Boy/Male
Arabic, Hindu, Indian, Kannada, Muslim, Sindhi, Telugu
Intelligent; Radiant; Bright; Shining
MOORE GRAPH
MOORE GRAPH
MOORE GRAPH
MOORE GRAPH
MOORE GRAPH
n.
A greater quantity, amount, or number; that which exceeds or surpasses in any way what it is compared with.
superl.
Greater in quality, amount, degree, quality, and the like; with the singular.
superl.
Greater in number; exceeding in numbers; -- with the plural.
n.
A kind of blue cloth made in India.
a.
Of or pertaining to moors; marshy; fenny; boggy; moorish.
n.
A large cervine mammal (Alces machlis, or A. Americanus), native of the Northern United States and Canada. The adult male is about as large as a horse, and has very large, palmate antlers. It closely resembles the European elk, and by many zoologists is considered the same species. See Elk.
n.
That which is in addition; something other and further; an additional or greater amount.
v. t.
To make more; to increase.
adv.
In addition; further; besides; again.
adv.
In a greater quantity; in or to a greater extent or degree.
superl.
Additional; other; as, he wept because there were no more words to conquer.
imp. & p. p.
of Moor
n.
A watered, clouded, or frosted appearance produced upon either textile fabrics or metallic surfaces.
superl.
Greater; superior; increased
adv.
With a verb or participle.
n.
Originally, a fine textile fabric made of the hair of an Asiatic goat; afterwards, any textile fabric to which a watered appearance is given in the process of calendering.
adv.
With an adjective or adverb (instead of the suffix -er) to form the comparative degree; as, more durable; more active; more sweetly.
n.
Land consisting of a moor or moors.
v. t.
To fix or secure, as a vessel, in a particular place by casting anchor, or by fastening with cables or chains; as, the vessel was moored in the stream; they moored the boat to the wharf.