Even-hole-free graphs part I: Decomposition theorem
نویسندگان
چکیده
We prove a decomposition theorem for even-hole-free graphs. The decompositions used are 2-joins and star, double-star and triple-star cutsets. This theorem is used in the second part of this paper to obtain a polytime recognition algorithm for even-hole-free graphs.
منابع مشابه
Even-hole-free graphs part II: Recognition algorithm
We present an algorithm that determines in polytime whether a graph contains an even hole. The algorithm is based on a decomposition theorem for even-hole-free graphs obtained in Part I of this paper. We also give a polytime algorithm to nd an even hole in a graph when one exists.
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ورودعنوان ژورنال:
- Journal of Graph Theory
دوره 39 شماره
صفحات -
تاریخ انتشار 2002