𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Fractional Intersection Number of a Graph

✍ Scribed by Edward R. Scheinerman; Ann N. Trenk


Publisher
Springer Japan
Year
1999
Tongue
English
Weight
101 KB
Volume
15
Category
Article
ISSN
0911-0119

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On a Polynomial Fractional Formulation f
✍ Balabhaskar Balasundaram; Sergiy Butenko πŸ“‚ Article πŸ“… 2006 πŸ› Springer US 🌐 English βš– 155 KB

In this paper we characterize the local maxima of a continuous global optimization formulation for finding the independence number of a graph. Classical Karush-Kuhn-Tucker conditions and simple combinatorial arguments are found sufficient to deduce several interesting properties of the local and glo

On the intersection rank of a graph
✍ James A. Wiseman πŸ“‚ Article πŸ“… 1992 πŸ› Elsevier Science 🌐 English βš– 748 KB

Wiseman, J.A., On the intersection rank of a graph, Discrete Mathematics 104 293-305.

Intersection number and capacities of gr
✍ J. KΓΆrner πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 955 KB

For an arbitrary graph G we determine the asymptotics of the intersection number (edgeclique covering number) of the categorical (or weak) product of G and the complete graph K,, asymptotically in n. The result follows from a more general theorem on graph capacities which generalizes an earlier resu

On the stability number of the edge inte
✍ Claudio Arbib; Alberto Caprara πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 38 KB

Let G be the graph obtained as the edge intersection of two graphs G 1 , G 2 on the same vertex set V . We show that if at , where Ξ±() is the cardinality of the largest stable set. Moreover, for general G 1 and G 2 , we show that Ξ±(G) R(Ξ±(G 1 ) + 1, Ξ±(G 2 ) + 1) -1, where R(k, ) is the Ramsey numbe