Sigma-additivity of quasi-measure extensions of a measure

Sigma-additivity of quasi-measure extensions of a measure

The situation in which every quasi-measure extension of a given measure is σ-additive is characterized in the case of an atomic or two-valued measure. Subject Classifications: 28A12

Vulnerability Measure of a Network - a Survey

In this paper we discuss about tenacity and its properties in stability calculation. We indicate relationships between tenacity and connectivity, tenacity and binding number, tenacity and toughness. We also give good lower and upper bounds for tenacity. Since we are primarily interested in the case where disruption of the graph is caused by the removal of a vertex or vertices (and the resulting...

Revision of a fuzzy distance measure

A Survey on Stability Measure of Networks

In this paper we discuss about tenacity and its properties in stability calculation. We indicate relationships between tenacity and connectivity, tenacity and binding number, tenacity and toughness. We also give good lower and upper bounds for tenacity.

Towards a measure of vulnerability, tenacity of a Graph

If we think of the graph as modeling a network, the vulnerability measure the resistance of the network to disruption of operation after the failure of certain stations or communication links. Many graph theoretical parameters have been used to describe the vulnerability of communication networks, including connectivity, integrity, toughness, binding number and tenacity.In this paper we discuss...