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Mathematical tree of cycles
In graph theory, a cactus (sometimes called a cactus tree) is a connected graph in which any two simple cycles have at most one vertex in common. Equivalently
Cactus_graph
Pan-genome Graph Construction Methodology
graphs. The Cactus graph is a graph-based structure specifically designed for whole-genome multiple alignments with complex rearrangements. A cactus graph
Pan-genome_graph_construction
Graph whose biconnected components are all cliques
Block graphs are sometimes erroneously called Husimi trees (after Kôdi Husimi), but that name more properly refers to cactus graphs, graphs in which
Block_graph
Non-crossing graph with vertices on outer face
In graph theory, an outerplanar graph is a graph that has a planar drawing for which all vertices belong to the outer face of the drawing. Outerplanar
Outerplanar_graph
Graph of triangles with a shared vertex
graph F2 is isomorphic to the butterfly graph. Friendship graphs are generalized by the triangular cactus graphs. The friendship theorem of Paul Erdős,
Friendship_graph
Graph where every edge is in one triangle
Examples of locally linear graphs include the triangular cactus graphs, the line graphs of 3-regular triangle-free graphs, and the Cartesian products
Locally_linear_graph
Trail in which only the first and last vertices are equal
These include: Bipartite graph, a graph without odd cycles (cycles with an odd number of vertices) Cactus graph, a graph in which every nontrivial biconnected
Cycle_(graph_theory)
Geometric graph with unit edge lengths
distance graphs include the cactus graphs, the matchstick graphs and penny graphs, and the hypercube graphs. The generalized Petersen graphs are non-strict
Unit_distance_graph
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
Planar graph with 4 nodes and 5 edges
in the graph shares at most one vertex. The family of graphs in which each connected component is a cactus graph is downwardly closed under graph minor
Diamond_graph
Adding edges to make a graph Hamiltonian
of graphs, including series–parallel graphs and their subgraphs, which include outerplanar graphs, as well as for a line graph of a tree or a cactus graph
Hamiltonian_completion
Largest independent set of paired elements
components as the original graph. Cactus graphs are automatically planar graphs, and the problem of finding triangular cactus graphs forms the basis for the
Matroid_parity_problem
Topics referred to by the same term
Cactus, alternative name of the Mammillaria cactus genera Cactus (crustacean), the crustacean genus Cactus graph or cactus, a type of connected graph
Cactus_(disambiguation)
Describing a family of graphs by excluding certain (sub)graphs
In graph theory, a branch of mathematics, many important families of graphs can be described by a finite set of individual graphs that do not belong to
Forbidden graph characterization
Forbidden_graph_characterization
Number of vertices with unambiguous distances
algorithms exist for cographs, chain graphs, and cactus block graphs (a class including both cactus graphs and block graphs). The problem may be solved in polynomial
Metric dimension (graph theory)
Metric_dimension_(graph_theory)
Graph with at most one cycle per component
butterfly, the resulting larger graph family consists of the cactus graphs and disjoint unions of multiple cactus graphs. More simply, if multigraphs with
Pseudoforest
Graph whose shortest paths are unique
a cycle graph is geodetic when it has odd length, every cactus graph in which the cycles have odd length is also geodetic. These cactus graphs are exactly
Geodetic_graph
Japanese physicist
mathematical area of graph theory, the name "Husimi tree" has come to refer to two different kinds of graphs: cactus graphs (the graphs in which each edge
Kôdi_Husimi
Finiteness of sets of forbidden graph minors
path graphs), pseudoforests, and cactus graphs; planar graphs, outerplanar graphs, apex graphs (formed by adding a single vertex to a planar graph), toroidal
Robertson–Seymour_theorem
Abstraction of mod-2 vector independence
other; in this case, it may be represented as the graphic matroid of a cactus graph. If M {\displaystyle M} is a binary matroid, then so is its dual, and
Binary_matroid
Number denoting a graph's closeness to a tree
include the cactus graphs, pseudoforests, series–parallel graphs, outerplanar graphs, Halin graphs, and Apollonian networks. The control-flow graphs arising
Treewidth
Families of graphs with this property include the cactus graphs, pseudoforests, series–parallel graphs, outerplanar graphs, Halin graphs, and Apollonian
Partial_k-tree
Cycles in a graph that cover each edge twice
conjecture is called a cycle double cover. Some graphs such as cycle graphs and bridgeless cactus graphs can only be covered by using the same cycle more
Cycle_double_cover
Path on an edge-colored graph over which no color repeats
general graph G {\displaystyle G} is an NP-hard problem, it can be solved in polynomial time for certain graph classes, such as cactus graphs. The rainbow
Rainbow_coloring
One-by-one assignment of colors to graph vertices
bipartite graphs, all cactus graphs, all wheel graphs, all graphs on at most six vertices, and almost every k {\displaystyle k} -colorable graph. Although
Greedy_coloring
exploiting the properties of cactus graphs, Leighton & Moitra (2010) proved the conjecture; the greedy embeddings of these graphs can be defined succinctly
Greedy_embedding
Class of mathematical games
forests with maximum degree 3. Cactuses: χ g ( C ) = 5 {\displaystyle \chi _{g}({\mathcal {C}})=5} . Outerplanar graphs: 6 ≤ χ g ( O ) ≤ 7 {\displaystyle
Graph_coloring_game
Biological process occurring in plants
The graph shows the number of honeybee colonies in the U.S. from 1982 to 2015,
Pollination
to the graph which was initially established based on a reference input, which in this case was GRCh38, in a greedy fashion. Minigraph-Cactus (MC): This
Human_Pangenome_Reference
Topics referred to by the same term
to: Domesticated hedgehog Hedgehog (band), a Beijing rock band Hedgehog cactus (disambiguation), a common name for Pediocactus, Echinocereus, or Echinopsis
Hedgehog_(disambiguation)
Web browser developed by Google
touch devices, the T-Rex instantly jumps once and starts dashing across a cactus-ridden desert, revealing it to be an Easter egg in the form of a platform
Google_Chrome
Concept in numerical analysis
numerical grids used for graph plotting or computational simulation, and would be better suited if specific areas of graphs which needed precision could
Adaptive_mesh_refinement
significant winter storms with accumulating, snow-like graupel. See or edit raw graph data. Since Sky Harbor International Airport (PHX) opened, the earliest
Climate_of_Phoenix
Cuban-American baseball player (born 1990)
had a strong spring training with the Dodgers in 2013, hitting .526 in Cactus League games and having some in the press speculate that he might break
Yasiel_Puig
2014 video game
The game over header and restart button after the player runs into a cactus
Dinosaur_Game
thinks a lack of bats is the reason the flowering cactus plants are not bearing any apple cactus fruit. 120 6 "Water Woes" Adam Rudman April 17, 2020 (2020-04-17)
List_of_Cyberchase_episodes
List of projects maintained by the Apache Software Foundation
PostgreSQL extension that provides graph database functionality in order to enable users of PostgreSQL to use graph query modeling in unison with PostgreSQL's
List of Apache Software Foundation projects
List_of_Apache_Software_Foundation_projects
Automatically changing parameters, scenarios, and behaviors in video games in real-time
Crawford said, "If I were to make a graph of a typical player's score as a function of time spent within the game, that graph should show a curve sloping smoothly
Dynamic game difficulty balancing
Dynamic_game_difficulty_balancing
Border conflict between China and India
This graph was using the legacy Graph extension, which is no longer supported. It needs to be converted to the new Chart extension.
2020–2021 China–India skirmishes
2020–2021_China–India_skirmishes
English guitarist (1944–2023)
postponed for two-and-a-half years, during which time Bogert and Appice formed Cactus. Beck later remarked on the 1960s period of his life: "Everyone thinks of
Jeff_Beck
American baseball player (born 1992)
playing time. However, due to Gavin Lux's poor defense at shortstop in Cactus League games, on March 8, manager Dave Roberts announced that Betts would
Mookie_Betts
British Overseas Territory in the North Atlantic Ocean
meaning 'string of islands'. The Turks Islands are named after the Turk's cap cactus, Melocactus intortus, whose red cephalium resembles the fez hat worn by
Turks_and_Caicos_Islands
Quantum computing company
availability of their D-Wave 2X computer, with 1000 qubits in a Chimera graph architecture (although, due to magnetic offsets and manufacturing variability
D-Wave_Systems
Iranian resort island in the Persian Gulf
Institute of Arts and Sciences (teaching foreign languages); Kish Institute of Graph-Rayaneh (teaching computing); Parto Institute (teaching English); Sadaf
Kish_Island
Aerial service branch of the Indian Armed Forces
undertaken by the IAF include Operation Vijay, Operation Meghdoot, Operation Cactus and Operation Poomalai. The IAF's mission expands beyond engagement with
Indian_Air_Force
their pre-season spring training exhibition games in Arizona where the cactus grows in abundance. See also Grapefruit League. A caddy's sole function
Glossary_of_baseball_terms
2000, 25-year-old New Zealander Cameron Bayes was taken while surfing at Cactus Beach south of Penong on the Great Australian Bight. On 29 May 1999, 22-year-old
Shark attacks in South Australia
Shark_attacks_in_South_Australia
American baseball player (born 1986)
agency. Although Lucroy did well in spring training, going 6 for 18 in 14 Cactus League games, he was released from the White Sox on March 29 to clear room
Jonathan_Lucroy
Potomac during the early 19th century include yellow jessamine, prickly pear cactus, white horehound, sweet fennel, wild cherries, and wild strawberries. The
Geography_of_Washington,_D.C.
what it was five years ago). The pit revenue for the state is shown in the graph. Slot revenue also dropped a billion and a half dollars since October 2007
Nevada_gaming_area
City in Florida, United States
It was reported that Woodbury took pleasure in placing a "prickly pear cactus under the Confederate saddle". By the spring of 1864, Fort Myers was protected
Fort_Myers,_Florida
City in Greater Cairo, Egypt
October 2013. Retrieved 16 August 2013. "Climate: Giza – Climate graph, Temperature graph, Climate table". Climate-Data.org. Archived from the original on
Giza
City in Oaxaca, Mexico
(honey water), trocitos de melón (melon), horchata (rice), tuna batida (cactus fruit shake), and nuez (nuts), as well as local fruits such as chilacayota
Oaxaca_City
North American professional baseball league
play. The teams that hold spring training in Arizona are grouped into the Cactus League, while teams that hold camp in Florida are known as the Grapefruit
Major_League_Baseball
African island country in the Indian Ocean
Lavranos, John (2004). "Pachypodium makayense: A New Species From Madagascar". Cactus and Succulent Journal. 76 (2): 85–88. Bradt (2011), p. 38 Baum, D. A.; Small
Madagascar
Change to Google's logo on anniversaries and special days
day. It shows a china poblana, a pozole, a bell, a hat with a zarape, a cactus and an Aztec musician. On September 17, 2021, Google did a doodle celebrating
Google_Doodle
U.S. House district for Arizona
Sunizona, Sunsites, Tombstone, Whetstone, Wilcox Graham County (10) Bryce, Cactus Flats, Central, Fort Thomas, Pima, Safford, San Jose, Solomon, Swift Trail
Arizona's 6th congressional district
Arizona's_6th_congressional_district
Metabolic process
"Drought-stress-induced up-regulation of CAM in seedlings of a tropical cactus, Opuntia elatior, operating predominantly in the C3 mode". Journal of Experimental
Crassulacean_acid_metabolism
However, LSD dramatically decreased in popularity in the mid-1970s (see above graph which covers the period 1967–2008). This decline was due to negative publicity
History_of_LSD
American baseball player (born 1989)
there's more where that came from". SFGate. "Bumgarner slated for Giants Cactus League opener". MLB.com. February 28, 2015. "Giants survive opener, have
Madison_Bumgarner
Species of ant
Argentine ant reduces pollinator visitation and seed set in the coast barrel cactus, Ferocactus viridescens". Oecologia. 174 (1): 163–171. Bibcode:2014Oecol
Argentine_ant
Species of some organisms facing a very high risk of extinction
skulls. By 1890, overhunting had reduced the population to 750. Knowlton cactus Loggerhead sea turtle Asian arowana Hawksbill sea turtle Cantor's giant
Endangered_species
Non-usage of animal products
alternatives can come from materials such as cork, piña (from pineapples), cactus, and mushroom leather. Some vegan clothes, in particular leather alternatives
Veganism
Type of hybrid vehicle
hybrid drivetrain: the Peugeot 307, Citroën C4 Hybride HDi and Citroën C-Cactus. Volkswagen made a prototype diesel-electric hybrid car that achieved 2 L/100 km
Hybrid_electric_vehicle
Process in which organisms diversify rapidly from an ancestral species
Galapagos are similarly uniquely adapted for their particular niche. The cactus finches (Geospiza sp.) have somewhat longer beaks than the ground finches
Adaptive_radiation
Puerto Rican baseball player (born 1992)
him to join their major league team in spring training, competing in the Cactus League. Báez hit four home runs in five at-bats over the course of two games
Javier_Báez
which can then allow for soil binding to take place. The giant saguaro cactus, in this respect, can only survive in the shade of other plants (or in some
Connell–Slatyer model of ecological succession
Connell–Slatyer_model_of_ecological_succession
N. Hook c-11m October 3, 1957 Graphing Linear Equations Halbert C. Christofferson c-11m November 9, 1961 Video Graphs: Understanding and Using Them J
List_of_Coronet_Films_films
inorganic processes in biological systems. acanthochronology The study of cactus spines or euphorbia thorns grown in time ordered sequence. acanthology The
List of words with the suffix -ology
List_of_words_with_the_suffix_-ology
American baseball player (born 1988)
Providence Journal. Retrieved August 22, 2013. Pavlovic, Alex (March 13, 2014). "Cactus League: Brandon Belt can't win over Giants fans". San Jose Mercury News
Brandon_Belt
National park in Utah, United States
Canyonlands National Park contains a wide variety of plant life, including 11 cactus species, 20 moss species, liverworts, grasses and wildflowers. Varieties
Canyonlands_National_Park
Study of the structure of plants
discovers that the spines of cactus also share the same basic structure and development as leaves in other plants, and therefore cactus spines are homologous
Plant_morphology
Fit of a species living under specific environmental conditions
example being the different succulents found in American and African deserts, cactus and euphorbia, respectively. As another example, the anole lizards of the
Ecological_niche
American baseball player (born 1987)
in the 2018 season. Davis was born in Lakewood, California. He attended Cactus High School before transferring to play baseball at Deer Valley High School
Khris_Davis
Geographical overview
November 2013. "Climate: Kandy CP (altitude: 518 m) – Climate graph, Temperature graph, Climate table". Climate-Data.org. Retrieved 12 December 2013.
Geography_of_Sri_Lanka
Russian-American mathematician
cohomology, cohomology of vertex operator algebras, and string topology (see cactus operad). He is a Fellow of the American Mathematical Society, an AMS Centennial
Alexander_A._Voronov
Five-door hatchback electric city car
2013. Archived from the original on 2012-04-26. Retrieved 2013-01-22.See graph "Salgstall pr. des 2012" (Sales Figures December 2012) for details of monthly
Mitsubishi_i-MiEV
Military operation
This graph was using the legacy Graph extension, which is no longer supported. It needs to be converted to the new Chart extension.
Indian Army operations in Jammu and Kashmir
Indian_Army_operations_in_Jammu_and_Kashmir
U.S. House district for Arizona
(49) All 49 communities Pinal County (26) Ak-Chin Village, Blackwater, Cactus Forest, Casa Blanca, Casa Grande (part; also 6th), Coolidge, Dudleyville
Arizona's 2nd congressional district
Arizona's_2nd_congressional_district
Branch of topology
that could be by using an action of a cactus operad on the free loop space L M {\displaystyle LM} . The cactus operad is weakly equivalent to the framed
String_topology
Venezuelan baseball player (born 1976)
was released on March 10, 2013, having made only one appearance in the Cactus League. Five days prior, he was diagnosed with a nerve impingement above
Kelvim_Escobar
cancelled the remainder of spring training on March 12, affecting ten separate Cactus League venues in the Phoenix area (and over 66,000 seasonal and 2,000 volunteer
COVID-19_pandemic_in_Arizona
Genome browser hosted by the University of California, Santa Cruz
the influx of data from new genomic technologies, UCSC introduced Genome Graphs in 2007–2008, enabling users to plot genome-wide datasets, such as association
UCSC_Genome_Browser
American baseball player (born 1985)
Rangers. He made his first appearances in left and center field during Cactus League action in March 2016. Desmond was selected as an American League
Ian_Desmond
Video game development software
(compiling) it. The graphs are split into multiples of 128 and further split into multiples of 16 to help with snapping and spacing. The graphs will automatically
3D_GameStudio
Research topic in computational geometry
usually represented as triangle meshes, which can be seen as a graph. Each node in the graph is a vertex (usually in R 3 {\displaystyle R^{3}} ), which has
Geometry_processing
Cuban baseball player (born 1983)
By the spring of 2005, the Angels hoped to have Morales practice in the Cactus League to get ready for a quick ascension through their farm system or possibly
Kendrys_Morales
{\rm {Area}}({\mathcal {D}})\,} . In general, a Van Kampen diagram has a "cactus-like" structure where one or more disk-components joined by (possibly degenerate)
Van_Kampen_diagram
29, 2017 Ary and the Secret of Seasons Action-adventure eXiin, Fishing Cactus Modus Games, Maximum Games November 5, 2020 September 1, 2020 January 1
List_of_Stadia_games
Polygon through a set of points
MR 1775294 Marx, Dániel; Miltzow, Tillmann (2016), "Peeling and nibbling the cactus: subexponential-time algorithms for counting triangulations and related
Polygonalization
American baseball player (born 1984)
Retrieved May 27, 2010. Geoff Baker (February 26, 2010). "Doug Fister gets the Cactus League opener next Wednesday". The Seattle Times. Retrieved May 27, 2010
Doug_Fister
Bogert, 76, American rock bassist (Vanilla Fudge, Beck, Bogert & Appice, Cactus), cancer. Duke Bootee, 69, American rapper and songwriter ("The Message")
Deaths_in_January_2021
PMID 35422081. S2CID 248181430. Retrieved 15 April 2022. "Even the Cactus May Not Be Safe From Climate Change". The New York Times. 14 April 2022
2022_in_science
Serbian appreciation of and contributions to the rock music genre
The 2000s also saw the revival of the hard rock scene. The hard rock band Cactus Jack, influenced by the 1970s hard rock, was formed in 1998, but saw their
Rock_music_in_Serbia
Season of television series
Garibaldi & Escuela de Mariachi Ollin Yoliztli Garibaldi) San Martín Centro (Cactus Farm) San Juan Teotihuacán (Jardin de las Cactaceas) Episode summary During
The_Amazing_Race_China_3
and tables of forecasted variables, economic indicators, and 35 pages of graphs illustrating recent trends. Access to economic forecasting models and supporting
Economic and Business Research Center
Economic_and_Business_Research_Center
Provincial park in British Columbia, Canada
lily, wild onion, chocolate lily, balsamroot, dandelion and prickly-pear cactus were all important stables to the communities. Due to the altering changes
South Chilcotin Mountains Provincial Park
South_Chilcotin_Mountains_Provincial_Park
CACTUS GRAPH
CACTUS GRAPH
Male
Swedish
Latin form of Old Norse Knútr, CANUTUS means "knot." In use by the Norwegians and Swedish.
Surname or Lastname
English
English : variant of Backus.Variant of German Backhaus.
Boy/Male
Greek
River of lamenting.
Surname or Lastname
English
English : variant of Backus.Variant of German Backhaus.Muslim : variant of Bacchus.
Boy/Male
Latin
Shrewd.
Boy/Male
Greek Latin
He who excels; from the east.
Surname or Lastname
English
English : from Middle English bakehous ‘bakehouse’ (Old English bæchÅ«s), hence a topographic name for someone who lived or worked in a bakery.Lithuanian (BaÄkus) : from Lithuanian baÄka ‘barrel’, ‘cask’, hence either a nickname for a short, fat man or an occupational name for a cooper.Among the original settlers of Norwich (later Franklin), CT, in 1660 was a certain Stephen Backus.
Male
English
Latin form of Greek Kleitos, CLETUS means famous, renowned."Â
Boy/Male
Greek Latin
An Argonaut.
Boy/Male
Shakespearean
The Tragedy of Julius Caesar' A servant to Brutus.
Girl/Female
American, Arabic, Australian, Hawaiian, Hebrew, Jamaican, Latin, Swahili
Patient; Enduring; Cactus Fruit; Thorny Cactus; To Rest
Surname or Lastname
English
English : probably a variant of Salthouse (see Salters).
Girl/Female
Biblical
Fruit, fruitful.
Surname or Lastname
English (Cheshire)
English (Cheshire) : habitational name from any of various minor places named with Old English ēcels ‘additional part of an estate’, from ēcan ‘to increase’. Compare Etchells.The earliest record of this surname is in Church Minshull, Cheshire, England, in 1566, when John, son of Thomas Eachus, was baptized. Peter Eachus married Margaret Pownall in Church Minshull on 21 April 1594.
Boy/Male
Greek American
Calling forth; summoned.
Boy/Male
Greek
Swan.
Boy/Male
Latin
A Roman poet.
Girl/Female
Greek
Aphrodite's girdle.
Boy/Male
Greek
A Titan.
Male
English
Short form of Latin Erastus, RASTUS means "beloved."Â
CACTUS GRAPH
CACTUS GRAPH
Girl/Female
Tamil
Eershita | ஈரà¯à®·à¯€à®¤à®¾
Girl/Female
Bengali, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Goddess Radha
Boy/Male
Tamil
Sitaramapadaseva | ஸீதாராமபதஸேவா
Always engaged in ramas service
Girl/Female
British, English, Latin, Spanish
Caution; Discretion; Prudent
Girl/Female
Biblical
Double.
Surname or Lastname
English
English : unexplained. Compare Bolden.
Girl/Female
American, Bengali, Christian, Danish, English, Finnish, French, German, Greek, Gujarati, Hindu, Indian, Japanese, Kannada, Latin, Marathi, Sindhi, Swedish, Tamil, Telugu
A Wise Counsellor; Goddess Durga; Solitary; Advise; Counsel; Lord of Mind; Intellectual
Boy/Male
Greek
Tame.
Girl/Female
Hindu, Indian
Splendour; Beauty; Ornament
Boy/Male
Hindu
The Buddha, Title of the Buddha
CACTUS GRAPH
CACTUS GRAPH
CACTUS GRAPH
CACTUS GRAPH
CACTUS GRAPH
pl.
of Cactus
v. i.
To hold, or meet in, a caucus or caucuses.
pl.
of Cactus
imp. & p. p.
of Caucus
pl.
of Pectus
n.
A genus of hemipterous insects, including scale insects, and the cochineal insect (Coccus cacti).
pl.
of Cultus
n.
A part of the Mass, or, in Protestant churches, a part of the communion service, of which the first words in Latin are Sanctus, sanctus, sanctus [Holy, holy, holy]; -- called also Tersanctus.
pl.
of Canthus
pl.
of Factum
n.
Any plant of the order Cactacae, as the prickly pear and the night-blooming cereus. See Cereus. They usually have leafless stems and branches, often beset with clustered thorns, and are mostly natives of the warmer parts of America.
n.
The principal grounds of a college or school, between the buildings or within the main inclosure; as, the college campus.
p. pr. & vb. n.
of Caucus
n.
A genus of Ctenophora. The typical species (Cestus Veneris) is remarkable for its brilliant iridescent colors, and its long, girdlelike form.
pl.
of Rectus
pl.
of Carpus
n.
See Sanctus bell, under Sanctus.
pl.
of Saccus