The number of maximal independent sets in a connected graph

From MaRDI portal
Publication:1106856

DOI10.1016/0012-365X(88)90114-8zbMath0652.05027MaRDI QIDQ1106856

David R. Guichard, Charles M. Grinstead, Jerrold R. Griggs

Publication date: 1988

Published in: Discrete Mathematics (Search for Journal in Brave)




Related Items (42)

The number of maximal independent sets in trees with a given number of leavesGraphs, partitions and Fibonacci numbersMaximal and maximum dissociation sets in general and triangle-free graphsConstraints on the number of maximal independent sets in graphsOn rejected arguments and implicit conflicts: the hidden power of argumentation semanticsOn Trees of Bounded Degree with Maximal Number of Greatest Independent SetsMaximal independent sets in graphs with at most one cycleMaximal independent sets on a grid graphEfficient domination of the orientations of a graphTrees with maximum number of maximal matchingsMaximal independent sets in clique-free graphsMaximizing the number of independent sets of fixed size in connected graphs with given independence numberThe maximum number of maximum dissociation sets in treesOn the maximum number of maximum independent sets in connected graphsCounting maximal independent sets in some \(n\)-gonal cactiGeneralizing Erdős, Moon and Moser's result -- the number of \(k\)-dominating independent setsOn the number of maximal independent sets: From Moon–Moser to Hujter–TuzaMaximum dissociation sets in subcubic treesOn the maximum number of maximum dissociation sets in trees with given dissociation numberMaximal independent sets in grid graphsOn the Number ofk-Dominating Independent SetsMaximum number of fixed points in AND-OR-NOT networksThe maximum number of maximal independent sets in unicyclic connected graphsOn the number of minimal transversals in 3-uniform hypergraphsIndependent sets in graphsMaximal independent sets and maximal matchings in series-parallel and related graph classesOn graphs with the third largest number of maximal independent setsThe number of maximal independent sets of \((k+1)\)-valent treesCoverings, Matchings and the number of maximal independent sets of graphsTrees with a given number of leaves and the maximal number of maximum independent setsSatisfiability of mixed Horn formulasRobustness: a new form of heredity motivated by dynamic networksOn the computation of fixed points in Boolean networksGraphs with the second largest number of maximal independent setsMaximal independent sets and maximal matchings in series-parallel and related graph classesMaximal independent sets and regularity of graphsTrees without twin-leaves with smallest number of maximal independent setsMaximal independent sets in caterpillar graphsUnnamed ItemA finiteness theorem for maximal independent setsThe number of maximal independent sets in connected triangle-free graphsThe maximum clique problem



Cites Work


This page was built for publication: The number of maximal independent sets in a connected graph