𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Independent sets, cliques and hamiltonian graphs

✍ Scribed by Xin Liu


Publisher
Springer Japan
Year
1995
Tongue
English
Weight
471 KB
Volume
11
Category
Article
ISSN
0911-0119

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Partitioning chordal graphs into indepen
✍ Pavol Hell; Sulamita Klein; Loana Tito Nogueira; FΓ‘bio Protti πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 217 KB

We consider the following generalization of split graphs: A graph is said to be a (k; ')-graph if its vertex set can be partitioned into k independent sets and ' cliques. (Split graphs are obtained by setting k = ' = 1.) Much of the appeal of split graphs is due to the fact that they are chordal, a

Clique polynomials and independent set p
✍ Cornelis Hoede; Xueliang Li πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 492 KB

This paper introduces two kinds of graph polynomials, clique polynomial and independent set polynomial. The paper focuses on expansions of these polynomials. Some open problems are mentioned.

Partitions of graphs into one or two ind
✍ Andreas BrandstΓ€dt πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 417 KB

It is shown in this note that it can be recognized in polynomial time whether the vertex set of a finite undirected graph can be partitioned into one or two independent sets and one or two cliques. Such graphs generalize bipartite and split graphs and the result also shows that it can be recognized

A note on cliques and independent sets
✍ Entringer, Roger C.; Goddard, Wayne; Henning, Michael A. πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 58 KB πŸ‘ 2 views

For integers m, n β‰₯ 2, let f (m, n) be the minimum order of a graph where every vertex belongs to both a clique of cardinality m and an independent set of cardinality n. We show that f (m, n) = ( √ m -1 + √ n -1) 2 .