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Well-covered graphs and extendability

✍ Scribed by Nathaniel Dean; Jennifer Zito


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
928 KB
Volume
126
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES


Very well covered graphs
✍ O. Favaron πŸ“‚ Article πŸ“… 1982 πŸ› Elsevier Science 🌐 English βš– 481 KB

A gra~h is wen-covered if it has no isolated vertices and all the maximal stable (iadependent) sets have the same cardinality. If fm'thermore this cardinality is equal to Β½n, where n is the order of, he graph, the graph is called 'veEΒ’ well covered'. The class of very well-covered graphs contains in

Subdivisions, parity and well-covered gr
✍ Caro, Yair πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 121 KB πŸ‘ 2 views

A graph is well-covered if every maximal independent set is maximum. This concept, introduced by Plummer in 1970 (J. Combin. Theory 8 (1970)), is the focal point of much interest and current research. We consider well-covered 2-degenerate graphs and supply a structural (and polynomial time algorithm

Nonplanar graphs and well-covered cycles
✍ R. Bruce Richter πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science 🌐 English βš– 116 KB

In his talk 'Spanning tees of planar maps' at the 19th Southeastern Conference on Combinatorics, Graph Theory and Computing (Baton Rouge, LA, February 1988), Rosenfeld stated the following conjecture. Conjecture. Let G be a 2-connected graph and let % be a collection of cycles in G such that: (i)

Well-Covered Claw-Free Graphs
✍ David Tankus; Michael Tarsi πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 336 KB
ModelingK-coteries by well-covered graph
✍ Yamashita, Masafumi; Kameda, Tsunehiko (Tiko) πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 115 KB πŸ‘ 3 views

The concept of k-coterie is useful for achieving k-mutual exclusion in distributed systems. A graph is said to be well covered if any of its maximal independent sets is also maximum. We first show that a graph G is well covered with independence number k if and only if G represents the incidence rel

Complexity results for well-covered grap
✍ Ramesh S. Sankaranarayana; Lorna K. Stewart πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 740 KB

## Abstract A graph with __n__ vertices is well covered if every maximal independent set is a maximum independent set and very well covered if every maximal independent set has size __n__/2. In this work, we study these graphs from an algorithmic complexity point of view. We show that well‐covered