In this paper the authors study the edge-integrity of graphs. Edge-integrity is a very useful measure of the vulnerability of a network, in particular a communication network, to disruption through the deletion of edges. A number of problems are examined, including some Nordhaus-Gaddum type results.
On the equations of the edge cone of a graph¶and some applications
✍ Scribed by Rafael H. Villarreal
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 99 KB
- Volume
- 97
- Category
- Article
- ISSN
- 0025-2611
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Chen CC., K.M. Koh and Y.H. Peng, On the higher-order edge toughness of a graph, Discrete Mathematics 111 (1993) 113-123. For an integer c, 1 <c < 1 V(G) I-1, we define the cth-order edye toughness of a graph G as The objective of this paper is to study this generalized concept of edge toughness.
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