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Domination in permutation graphs

โœ Scribed by Martin Farber; J Mark Keil


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
617 KB
Volume
6
Category
Article
ISSN
0196-6774

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๐Ÿ“œ SIMILAR VOLUMES


Permutation graphs: Connected domination
โœ Charles J. Colbourn; Lorna K. Stewart ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 702 KB

Efficient algorithms are developed for finding a minimum cardinality connected dominating set and a minimum cardinality Steiner tree in permutation graphs. This contrasts with the known NP-completeness of both problems on comparability graphs in general.

Generalized domination and efficient dom
โœ D.W. Bange; A.E. Barkauskas; L.H. Host; P.J. Slater ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 516 KB

This paper generalizes dominating and efficient dominating sets of a graph. Let G be a graph with vertex set V(G). If f: V(G) ~ Y, where Y is a subset of the reals, the weight off is the sum of f(v) over all ve V(G). If the closed neighborhood sum off(v) at every vertex is at least 1, thenfis called