Maximum weight stable set in (P7, bull)-free graphs and (S1,2,3, bull)-free graphs
نویسندگان
چکیده
منابع مشابه
Maximum Weight Stable Set in ($P_7$, bull)-free graphs
We give a polynomial time algorithm that finds the maximum weight stable set in a graph that does not contain an induced path on seven vertices or a bull (the graph with vertices a, b, c, d, e and edges ab, bc, cd, be, ce). With the same arguments with also give a polynomial algorithm for any graph that does not contain S1,2,3 or a bull.
متن کاملThe maximum weight stable set problem in $(P_6, \mbox{bull})$-free graphs
We present a polynomial-time algorithm that finds a maximum weight stable set in a graph that does not contain as an induced subgraph an induced path on six vertices or a bull (the graph with vertices a, b, c, d, e and edges ab, bc, cd, be, ce).
متن کاملOptimizing Bull-Free Perfect Graphs
A bull is a graph obtained by adding a pendant vertex at two vertices of a triangle. Here we present polynomial-time combinatorial algorithms for the optimal weighted coloring and weighted clique problems in bull-free perfect graphs. The algorithms are based on a structural analysis and decomposition of bull-free perfect graphs.
متن کاملColoring ($P_5$, bull)-free graphs
We give a polynomial-time algorithm that computes the chromatic number of any graph that contains no path on five vertices and no bull as an induced subgraph (where the bull is the graph with five vertices a, b, c, d, e and edges ab, bc, cd, be, ce).
متن کاملOdd holes in bull-free graphs
The complexity of testing whether a graph contains an induced odd cycle of length at least five is currently unknown. In this paper we show that this can be done in polynomial time if the input graph has no induced subgraph isomorphic to the bull (a triangle with two disjoint pendant edges).
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2018
ISSN: 0012-365X
DOI: 10.1016/j.disc.2017.10.004