منابع مشابه
A class of perfect graphs containing P6
Let P6 denote the induced path on six nodes. We prove that if a perfect graph G contains P6 as an induced subgraph but not two families introduced by Conforti and Cornuéjols then G is bipartite or disconnected, or % G has a star cutset. r 2002 Elsevier Science (USA). All rights reserved.
متن کاملchromatic and clique numbers of a class of perfect graphs
let $p$ be a prime number and $n$ be a positive integer. the graph $g_p(n)$ is a graph with vertex set $[n]={1,2,ldots ,n}$, in which there is an arc from $u$ to $v$ if and only if $uneq v$ and $pnmid u+v$. in this paper it is shown that $g_p(n)$ is a perfect graph. in addition, an explicit formula for the chromatic number of such graph is given.
متن کاملA class of ?-perfect graphs
Consider the following total order: order the vertices by repeatedly removing a vertex of minimum degree in the subgraph of vertices not yet chosen and placing it after all the remaining vertices but before all the vertices already removed. For which graphs the greedy algorithm on this order gives an optimum vertex-coloring? Markossian, Gasparian and Reed introduced the class of -perfect graphs...
متن کاملA new class of perfect Hoàng graphs
A Hoàng graph G = (V, E) is a graph whose edges may be coloured with two colours (red and white) such that no induced path on four vertices has the wings of the same colour. Hoàng [6] conjectured that these graphs are perfect and proved two partial results concerning their perfectness. We use here a different technique to establish that for reducible Hoàng graphs this conjecture is true.
متن کاملPerfect $2$-colorings of the Platonic graphs
In this paper, we enumerate the parameter matrices of all perfect $2$-colorings of the Platonic graphs consisting of the tetrahedral graph, the cubical graph, the octahedral graph, the dodecahedral graph, and the icosahedral graph.
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series B
سال: 2003
ISSN: 0095-8956
DOI: 10.1016/s0095-8956(02)00022-9