منابع مشابه
Recognizing k-path Graphs
The k-path graph Pk(H) of a graph H has all length-k paths of H as vertices; two such vertices are adjacent in the new graph if their union forms a path or cycle of length k + 1 in H , and if the common edges of both paths form a path of length k − 1. In this paper we give a (nonpolynomial) recognition algorithm for k-path graphs, for every integer k¿2. The algorithm runs in polynomial time if ...
متن کاملRecognizing clique graphs of directed edge path graphs
Directed edge path graphs are the intersection graphs of directed paths in a directed tree, viewed as sets of edges. They were studied by Monma and Wei (J. Comb. Theory B 41 (1986) 141–181) who also gave a polynomial time recognition algorithm. In this work, we show that the clique graphs of these graphs are exactly the two sections of the same kind of path families, and give a polynomial time ...
متن کاملRecognizing k-equistable Graphs in FPT Time
A graph G = (V,E) is called equistable if there exist a positive integer t and a weight function w : V → N such that S ⊆ V is a maximal stable set of G if and only if w(S) = t. Such a function w is called an equistable function of G. For a positive integer k, a graph G = (V,E) is said to be k-equistable if it admits an equistable function which is bounded by k. We prove that the problem of reco...
متن کاملOn k-path pancyclic graphs
For integers k and n with 2 ≤ k ≤ n− 1, a graph G of order n is k-path pancyclic if every path P of order k in G lies on a cycle of every length from k + 1 to n. Thus a 2-path pancyclic graph is edge-pancyclic. In this paper, we present sufficient conditions for graphs to be k-path pancyclic. For a graph G of order n ≥ 3, we establish sharp lower bounds in terms of n and k for (a) the minimum d...
متن کاملOn k-path Hamiltonian planar graphs
We give a simple upper bound on k for k-path-hamiltonianness of a graph. Also given are exact values for maximal planar graphs. UN/VERSJTY LIBRARIES CARNEGIE-MELLON UNIVERSITY PITTSBURGH, PENNSYLVANIA 15213
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2000
ISSN: 0166-218X
DOI: 10.1016/s0166-218x(99)00132-8