منابع مشابه
Well-covered circulant graphs
A graph is well-covered if every independent set can be extended to a maximum independent set. We show that it is co-NP-complete to determine whether an arbitrary graph is well-covered, even when restricted to the family of circulant graphs. Despite the intractability of characterizing the complete set of well-covered circulant graphs, we apply the theory of independence polynomials to show tha...
متن کاملRecursively decomposable well-covered graphs
We give an alternative characterization for well-covered graphs and restrict this to a characterization for very well covered graphs. We state the conditions under which the intersection of a pair of maximal independent sets of a well-covered graph is maximal and use this result to deene and characterize two recursively decomposable sub-classes of well-covered graphs, one properly containing th...
متن کاملWell-covered graphs and factors
A maximum independent set of vertices in a graph is a set of pairwise nonadjacent vertices of largest cardinality . Plummer [Some covering concepts in graphs, J. Combin. Theory 8 (1970) 91–98] defined a graph to be well-covered, if every independent set is contained in a maximum independent set of G. Every well-covered graph G without isolated vertices has a perfect [1, 2]-factor FG, i.e. a spa...
متن کاملWell-Covered Claw-Free Graphs
We prove the existence of a polynomial time algorithm to tell whether a graph, with no induced subgraph isomorphic to K1.3 , is well covered. A graph is wellcovered if all its maximal independent sets are of the same cardinality. The problem is known to be polynomialy solvable where the input graph is a line graph and it is NP-hard for the larger family of all graphs which do not contain an ind...
متن کامل1-well-covered Graphs Revisited
A graph is well-covered if all its maximal independent sets are of the same size (M. D. Plummer, 1970). A well-covered graph (with at least two vertices) is 1-wellcovered if the deletion of every vertex leaves a graph which is well-covered as well (J. W. Staples, 1975). In this paper, we provide new characterizations of 1-well-covered graphs, which we further use to build 1-well-covered graphs ...
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ژورنال
عنوان ژورنال: The Chemical Record
سال: 2017
ISSN: 1527-8999
DOI: 10.1002/tcr.201600142