𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The structure of well-covered graphs with no cycles of length 4

✍ Scribed by J.I. Brown; R.J. Nowakowski; I.E. Zverovich


Book ID
108113750
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
187 KB
Volume
307
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


A characterization of well-covered graph
✍ A. Finbow; B. Hartnell; R. J. Nowakowski πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 434 KB πŸ‘ 1 views

## Abstract A graph is well covered if every maximal independent set has the same cardinality. A vertex __x__, in a well‐covered graph __G__, is called extendable if __G – {x}__ is well covered and Ξ²(__G__) = Ξ²(__G – {x}__). If __G__ is a connected, well‐covered graph containing no 4‐ nor 5‐cycles

Hypergraphs with no cycle of length 4
✍ Ervin GyΕ‘ri; Nathan Lemons πŸ“‚ Article πŸ“… 2012 πŸ› Elsevier Science 🌐 English βš– 183 KB
Covering the vertices of a graph by cycl
✍ D. Amar; I. Fournier; A. Germa πŸ“‚ Article πŸ“… 1989 πŸ› John Wiley and Sons 🌐 English βš– 321 KB

The main theorem of that paper is the following: let G be a graph of order n, of size at least (nZ -3n + 6 ) / 2 . For any integers k, n,, n2,. . . , nk such that n = n, + n2 + ... + nk and n, 2 3, there exists a covering of the vertices of G by disjoint cycles (C,),=,..,k with ICjl = n,, except whe

The Structure of Well-Covered Graphs and
✍ David Tankus; Michael Tarsi πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 449 KB

A graph is well-covered if all its maximal independent sets are of the same cardinality. Deciding whether a given graph is well-covered is known to be NP-hard in general, and solvable in polynomial time, if the input is restricted to certain families of graphs. We present here a simple structural ch