In graph theory, a part of mathematics, a k-partite graph is a graph whose vertices are (or can be) partitioned into k different independent sets. Equivalently...
4 KB (399 words) - 08:07, 16 July 2024
graph is 4-colorable (i.e., 4-partite). Fáry's theorem states that every simple planar graph admits a representation as a planar straight-line graph....
35 KB (4,472 words) - 01:11, 29 August 2024
generalized to k-partite graphs and graphs that avoid larger cliques as subgraphs in Turán's theorem, and these two complete bipartite graphs are examples...
12 KB (959 words) - 07:51, 18 July 2024
graph theory, graph coloring is a special case of graph labeling; it is an assignment of labels traditionally called "colors" to elements of a graph subject...
67 KB (7,996 words) - 16:56, 29 August 2024
mathematical field of graph theory, the Petersen graph is an undirected graph with 10 vertices and 15 edges. It is a small graph that serves as a useful...
24 KB (2,933 words) - 00:46, 29 August 2024
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...
107 KB (15,784 words) - 17:42, 20 August 2024
_{i=1}^{k}n_{i}}}\sum _{i=1}^{k}{n_{i}H(G_{i})}} . Additionally, simple formulas exist for certain families classes of graphs. Complete balanced k-partite graphs...
6 KB (914 words) - 06:20, 15 May 2024
Hypergraph (redirect from Host graph)
and balanced. k {\displaystyle k} -uniform - each hyperedge contains precisely k {\displaystyle k} vertices. k {\displaystyle k} -partite - the vertices...
47 KB (6,219 words) - 01:09, 30 August 2024
meta-category, multicategory, and multi-graph, k-partite graph, or colored graph (see a color figure, and also its definition in graph theory). Supercategories were...
17 KB (1,511 words) - 11:12, 31 July 2024
formed as subgraphs of these complete bi-partite graphs in certain cases. Subgraphs of complete bipartite graphs Km,n exist when m and n share a factor...
5 KB (515 words) - 08:29, 18 August 2023