𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Generalizations of Grillet's theorem on maximal stable sets and maximal cliques in graphs

✍ Scribed by Wenan Zang


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
639 KB
Volume
143
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Constraints on the number of maximal ind
✍ Jiuqiang Liu πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 387 KB πŸ‘ 2 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__. Let __i(G)__ denote the number of maximal independent sets of __G__. Here, we prove two conjectures, suggested by P. ErdΓΆs, that the maximum number of m

The number of maximal independent sets i
✍ ZoltΓ‘n FΓΌredi πŸ“‚ Article πŸ“… 1987 πŸ› John Wiley and Sons 🌐 English βš– 286 KB πŸ‘ 2 views

Generalizing a theorem of Moon and Moser. we determine the maximum number of maximal independent sets in a connected graph on n vertices for n sufficiently large, e.g., n > 50. = I .32. . .). Example 1.2. Let b, = i(C,), where C,z denotes the circuit of length n. Then b, = 3, 6, = 2, b, = 5, and b,

Maximal sets of hamilton cycles in compl
✍ Mike Daven; J. A. MacDougall; C. A. Rodger πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 154 KB πŸ‘ 2 views

## Abstract A set __S__ of edge‐disjoint hamilton cycles in a graph __G__ is said to be __maximal__ if the edges in the hamilton cycles in __S__ induce a subgraph __H__ of __G__ such that __G__β€‰βˆ’β€‰__E__(__H__) contains no hamilton cycles. In this context, the spectrum __S__(__G__) of a graph __G__ i

Independent sets of maximal size in tens
✍ Cheng Yeaw Ku; Benjamin B. McMillan πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 97 KB πŸ‘ 2 views

## Abstract Let __G__ be a connected, nonbipartite vertex‐transitive graph. We prove that if the only independent sets of maximal cardinality in the tensor product __G__ Γ— __G__ are the preimages of the independent sets of maximal cardinality in __G__ under projections, then the same holds for all