Showing results for Coloring graphs which have equi bipartite complements.
Search instead for Coloring graphs which have equibipartite complements.
If G is a graph of order $2n \geq 4$ with an equibipartite complement, then G is Class 1 (i.e., the chromatic index of G is Δ (G)) if and only if G is not ...
Missing: equi | Show results with:equi
Nov 3, 2021 · Every bipartite graph with maximum degree at least k has a k-edge-coloring (not necessarily proper) in which at each vertex v, each color appears ⌊d(v)k⌋ or ...
Missing: equi complements.
In graph theory, an area of mathematics, an equitable coloring is an assignment of colors to the vertices of an undirected graph
Oct 30, 2023 · This corresponds to a proper coloring of ¯G. So the chromatic number of complement of the bipartite graph G is χ(¯G)≤|G|−α1(G).
Missing: equi | Show results with:equi
Jul 30, 2024 · Bipartite graph divides vertices into two disjoint sets with edges connecting vertices between sets · Two disjoint sets called partite sets or ...
... are complete bipartite graphs colored with blue, K(A1,B2) and K(A2,B1) are complete bipartite graphs colored with green, then we call K(A, B) an. M-type graph.
If a connected bipartite graph G is different from any complete bipartite graph K n,n, then G can be equitably colored with Δ(G) colors. Theorem 6. The complete ...
color blue, K(A1,B2) and K(A2,B1) are complete bipartite graphs with color green, then we call K(A, B) an M-type graph. An S-type graph is the graph satisfying.
The monochromatic tree partition number of an $r$-edge-colored graph $G$, denoted by $t_r(G)$, is the minimum integer $k$ such that whenever the edges of ...
This is mostly a survey article, but it contains various new results as well. A vertex coloring of a graph G is an assignment of a color to each vertex of G.