منابع مشابه
total dominator chromatic number of a graph
given a graph $g$, the total dominator coloring problem seeks aproper coloring of $g$ with the additional property that everyvertex in the graph is adjacent to all vertices of a color class. weseek to minimize the number of color classes. we initiate to studythis problem on several classes of graphs, as well as findinggeneral bounds and characterizations. we also compare the totaldominator chro...
متن کامل(k,r) - Semi Strong Chromatic Number of a Graph
Let G = (V, E) be a simple, finite, undirected graph. Let k, r be positive integers. A set S V (G) is called (k, r)-semi strongly stable set if | (u) S| k, for all u V (G). A partition of V(G) into (k, r)-semi strongly stable sets is called (k, r)-semi strong coloring of G. The minimum order of a (k, r)-semi strong coloring of G is called (k, r)-semi strong chromatic number of G and it is...
متن کاملThe set chromatic number of a graph
For a nontrivial connected graph G, let c : V (G) → N be a vertex coloring of G where adjacent vertices may be colored the same. For a vertex v of G, the neighborhood color set NC(v) is the set of colors of the neighbors of v. The coloring c is called a set coloring if NC(u) 6= NC(v) for every pair u, v of adjacent vertices of G. The minimum number of colors required of such a coloring is calle...
متن کاملThe Chromatic Number of a Signed Graph
In 1982, Zaslavsky introduced the concept of a proper vertex colouring of a signed graph G as a mapping φ : V (G) → Z such that for any two adjacent vertices u and v the colour φ(u) is different from the colour σ(uv)φ(v), where is σ(uv) is the sign of the edge uv. The substantial part of Zaslavsky’s research concentrated on polynomial invariants related to signed graph colourings rather than on...
متن کاملDetermining the Chromatic Number of a Graph
Certain branch-and-bound algorithms for determining the chromatic number of a graph are proved usually to take a number of steps which grows faster than exponentially with the number of vertices in the graph. A similar result holds for the number of steps in certain proofs of lower bounds for chromatic numbers. Key words, graph, chromatic number, algorithm, proof
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ژورنال
عنوان ژورنال: Random Structures & Algorithms
سال: 1992
ISSN: 1042-9832
DOI: 10.1002/rsa.3240030102