𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Disjoint cliques and disjoint maximal independent sets of vertices in graphs

✍ Scribed by Paul Erdös; Arthur M. Hobbs; C. Payan


Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
548 KB
Volume
42
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Maximal independent sets in bipartite gr
✍ Jiuqiang Liu 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 458 KB 👁 1 views

## Abstract A maximal independent set of a graph __G__ is an independent set that is not contained properly in any other independent set of __G.__ In this paper, we determine the maximum number of maximal independent sets among all bipartite graphs of order __n__ and the extremal graphs as well as

The maximal size of graphs with at most
✍ Mao-cheng Cai 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 502 KB

Let n and k be positive integers satisfying k + 1 s n s 3k -1, and G a simple graph of order n and size e(G) with at most k edge-disjoint paths connecting any two adjacent vertices. In this paper we prove that e(G) s l(n + k)\*/8], and give complete characterizations of the extremal graphs and the e

Clique polynomials and independent set p
✍ Cornelis Hoede; Xueliang Li 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 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.

Maximal matchings in graphs with large n
✍ I. Rinsma; C. H. C. Little; D. R. Woodall 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 174 KB

## Abstract We obtain lower bounds on the size of a maximum matching in a graph satisfying the condition |__N(X)__| ≥ __s__ for every independent set __X__ of __m__ vertices, thus generalizing results of Faudree, Gould, Jacobson, and Schelp for the case __m__ = 2.