Optimizing Bull-Free Perfect Graphs
نویسندگان
چکیده
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.
منابع مشابه
The Structure of Bull-Free Perfect Graphs
The bull is a graph consisting of a triangle and two vertex-disjoint pendant edges. A graph is called bull-free if no induced subgraph of it is a bull. A graph G is perfect if for every induced subgraph H of G, the chromatic number of H equals the size of the largest complete subgraph of H. This paper describes the structure of all bull-free perfect graphs.
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ورودعنوان ژورنال:
- SIAM J. Discrete Math.
دوره 18 شماره
صفحات -
تاریخ انتشار 2004