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Graph containing cycles of all possible lengths
In the mathematical study of graph theory, a pancyclic graph is a directed graph or undirected graph that contains cycles of all possible lengths from
Pancyclic_graph
Index of articles associated with the same name
Cycle graph, a graph that has the structure of a single cycle Pancyclic graph, a graph that has cycles of all possible lengths Cycle detection (graph theory)
Cyclic_graph
Path in a graph that visits each vertex exactly once
notation for Hamiltonian cubic graphs. Lovász conjecture that vertex-transitive graphs are Hamiltonian Pancyclic graph, graphs with cycles of all lengths
Hamiltonian_path
On degree sums and Hamiltonian cycles
Specifically, every graph satisfying the conditions of Ore's theorem is either a regular complete bipartite graph or is pancyclic (Bondy 1971). Bondy
Ore's_theorem
Mathematical tree with cycle through leaves
Halin graph remains almost pancyclic if a single edge is contracted, and every Halin graph without interior vertices of degree three is pancyclic. The
Halin_graph
Graph with all path lengths between each two vertices
graph. The concept of panconnectivity was introduced in 1975 by Yousef Alavi and James E. Williamson. Panconnected graphs are necessarily pancyclic:
Panconnectivity
Cubic graph with 12 vertices and 18 edges
In graph theory, the Frucht graph is a cubic graph with 12 vertices, 18 edges, and no nontrivial symmetries. It was first described by Robert Frucht in
Frucht_graph
Non-crossing graph with vertices on outer face
Hamiltonicity: it is node pancyclic, meaning that for every vertex v and every k in the range from three to the number of vertices in the graph, there is a length-k
Outerplanar_graph
British-Canadian mathematician
theorem Bondy–Chvátal theorem Even circuit theorem Hypohamiltonian graph Pancyclic graph John Adrian Bondy at the Mathematics Genealogy Project Charbit,
John_Adrian_Bondy
Directed graph where each vertex pair has one arc
In graph theory, a tournament is a directed graph with exactly one edge between each two vertices, in one of the two possible directions. Equivalently
Tournament_(graph_theory)
Extremal graph theory bound on clique-free graph edges
must either be the complete bipartite graph K n / 2 , n / 2 {\displaystyle K_{n/2,n/2}} or it must be pancyclic: not only does it contain a triangle,
Turán's_theorem
Theorem on Hamiltonian graphs
MR 1743840. Bondy, J. A. (1971), "Pancyclic graphs", Proceedings of the Second Louisiana Conference on Combinatorics, Graph Theory and Computing (Louisiana
Fleischner's_theorem
Graph formed from disjoint paths
Ralph J.; Gould, Ronald J.; Jacobson, Michael S. (28 March 2009), "Pancyclic graphs and linear forests", Discrete Mathematics, 309 (5), Elsevier B.V.:
Linear_forest
Austrian-Canadian mathematician
Berlekamp switching game Salem–Spencer set Secretary problem Tournament (graph theory) Erdős distinct distances problem Leo Moser at the Mathematics Genealogy
Leo_Moser
English mathematician
Aberdeen, 1975). Congr. Numer. 15 (1976) 355–359. (with J. A. Bondy) ‘Pancyclic graphs II’. J. Combin. Theory Ser. B 20 (1976) 41–46. ‘Transversal matroids
Aubrey_William_Ingleton
In graph theory, a discipline within mathematics, the frequency partition of a graph (simple graph) is a partition of its vertices grouped by their degree
Frequency partition of a graph
Frequency_partition_of_a_graph
Undirected cubic graph derived from a hypercube graph
cycle graph should always contain a Hamiltonian cycle, and this is now known to be true. More generally, although these graphs are not pancyclic, they
Cube-connected_cycles
Type of graph in graph theory
mathematical field of graph theory, a graph G is said to be hypohamiltonian if G itself does not have a Hamiltonian cycle but every graph formed by removing
Hypohamiltonian_graph
PANCYCLIC GRAPH
PANCYCLIC GRAPH
Surname or Lastname
German (also Gräff), Dutch, and Jewish (Ashkenazic)
German (also Gräff), Dutch, and Jewish (Ashkenazic) : variant of Graf.English : metonymic occupational name for a clerk or scribe, from Anglo-Norman French grafe ‘quill’, ‘pen’ (a derivative of grafer ‘to write’, Late Latin grafare, from Greek graphein).
Boy/Male
Italian Spanish
Enduring. The poet Dante Alighieri wrote The Divine Comedy with its graphic description of...
Boy/Male
Italian Spanish
Enduring. The poet Dante Alighieri wrote The Divine Comedy with its graphic description of...
Boy/Male
Italian Spanish
Enduring. The poet Dante Alighieri wrote The Divine Comedy with its graphic description of...
Boy/Male
Spanish American Italian Latin
Enduring. The poet Dante Alighieri wrote The Divine Comedy with its graphic description of...
PANCYCLIC GRAPH
PANCYCLIC GRAPH
Girl/Female
Welsh
Welsh forrn of Helen.
Boy/Male
Hindu
Girl/Female
Tamil
Plan
Boy/Male
Indian, Sanskrit
Like a Bull
Girl/Female
Indian, Telugu
Excellent
Girl/Female
Tamil
Yatudhani | யாதà¯à®¤à®¾à®¨à¯€
Same as Gayatri
Girl/Female
Greek American German Latin
Good. St. Agatha was a 3rd century Christian martyr. Agatha was popular during the Middle ages....
Boy/Male
Hindu
Boy/Male
Hindu, Indian
Lord Venkateshwara
Female
Czechoslovakian
, good.
PANCYCLIC GRAPH
PANCYCLIC GRAPH
PANCYCLIC GRAPH
PANCYCLIC GRAPH
PANCYCLIC GRAPH
a.
Expressing the type, structure, relations, and reactions of a compound; graphic; -- said of formulae. See under Formula.
a.
Pertaining to, containing, derived from, or resembling, graphite.
n.
A crucible; as, a graphite pot; a melting pot.
n.
Alt. of Graphicalness
n.
The quality or state of being graphic.
a.
Having the faculty of, or characterized by, clear and impressive description; vivid; as, a graphic writer.
n.
An instrument which, when applied over an artery, indicates graphically the movements or character of the pulse. See Sphygmogram.
n.
Alt. of Encyclical
n.
See Graphoscope.
a.
Alt. of Encyclical
a.
Resembling graphite or plumbago.
n.
An instrument for measuring, and recording graphically, the pressure of the blood in any of the blood vessels of a living animal; -- called also kymographion.
n.
A mineral, a telluride of gold and silver, of a steel-gray, silver-white, or brass-yellow color. It often occurs in implanted crystals resembling written characters, and hence is called graphic tellurium.
adv.
In a graphic manner; vividly.
a.
Alt. of Graphitoidal
n.
Anything which represents graphically a succession of events, states, or acts; as, an historical map.
n.
A pen-shaped pointing device used to specify the cursor position on a graphics tablet.
n.
An instrument for recording graphically the variations of temperature, or the indications of a thermometer.
a.
Alt. of Graphical
n.
A chart or graphic representation of the average distribution of rain over the surface of the earth.