Recognizing edge clique graphs among interval graphs and probe interval graphs
نویسندگان
چکیده
منابع مشابه
Recognizing edge clique graphs among interval graphs and probe interval graphs
The edge clique graph of a graph H is the one having the edge set of H as vertex set, two vertices being adjacent if and only if the corresponding edges belong to a common complete subgraph of H. We characterize the graph classes {edge clique graphs} ∩ {interval graphs} as well as {edge clique graphs} ∩ {probe interval graphs}, which leads to polynomial time recognition algorithms for them. Thi...
متن کاملAcyclic Clique-Interval Graphs
The class of acyclic clique-interval (ACI) graphs is introduced as the class of those graphs G=(V ,E) whose cliques are intervals (chains) of an acyclic order on the vertex set V . The class of ACI graphs is related to the classes of proper interval graphs, tree-clique graphs and to the class DV (intersection graphs of directed paths of a directed tree). Compatibility between a graph and an acy...
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 کاملCharacterizations of probe interval graphs
In this paper we obtain several characterizations of the adjacency matrix of a probe interval graph. In course of this study we describe an easy method of obtaining interval representation of an interval bipartite graph from its adjacency matrix. Finally, we note that if we add a loop at every probe vertex of a probe interval graph, then the Ferrers dimension of the corresponding symmetric bipa...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2007
ISSN: 0893-9659
DOI: 10.1016/j.aml.2006.11.004