منابع مشابه
Equistable series-parallel graphs
A graph is called equistable when there is a non-negative weight function on its vertices such that a set S of vertices has total weight 1 if and only if S is maximal stable. We characterize those series-parallel graphs that are equistable, generalizing results of Mahadev, Peled and Sun about equistable outer-planar graphs.
متن کاملOn chromaticity of graphs
Abstract In this paper we obtain the explicit formulas for chromatic polynomials of cacti. From the results relating to cacti we deduce the analogous formulas for the chromatic polynomials of n–gon–trees. Besides, we characterize unicyclic graphs by their chromatic polynomials. We also show that the so–called clique–forest–like graphs are chromatically equivalent.
متن کاملParallel Recognition of Series-Parallel Graphs
Recently, He and Yesha gave an algorithm for recognizing directed series parallel graphs, in time O(log n) with linearly many EREW processors. We give a new algorithm for this problem, based on a structural characterization of series parallel graphs in terms of their ear decompositions. Our algorithm can recognize undirected as well as directed series parallel graphs. It can be implemented in t...
متن کاملParallel Decomposition of Generalized Series-Parallel Graphs
Received July 17, 1997; accepted May 1, 1998. Communicated by Wen-Lian Hsu. *A preliminary version of this paper appeared in the proceedings of the International Conference on Parallel and Distributed Processing Techniques and Applications (PDPTA’97) Las Vegas, Nevada, pp. 890-896, 1997. Research supported in part by NSC under Grant 83-0408-E-008-004. JOURNAL OF INFORMATION SCIENCE AND ENGINEER...
متن کاملBoxicity of series-parallel graphs
The three well-known graph classes, planar graphs(P), series-parallel graphs (SP) and outer planar graphs(OP) satisfy the following proper inclusion relation: OP ⊂ SP ⊂ P . It is known that box(G) ≤ 3 if G ∈ P and box(G) ≤ 2 if G ∈ OP . Thus it is interesting to decide whether the maximum possible value of the boxicity of series-parallel graphs is 2 or 3. In this paper we construct a series-par...
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: Discrete Mathematics
سال: 1996
ISSN: 0012-365X
DOI: 10.1016/0012-365x(94)00355-m