Volume 56 (2024)
Volume 55 (2023)
Volume 54 (2022)
Volume 53 (2021)
Volume 52 (2020)
Volume 51 (2019)
Volume 50 (2018)
Volume 49 (2017)
Volume 48 (2016)
Volume 47 (2016)
Volume 46 (2015)
Volume 45 (2014)
Volume 44 (2013)
Volume 43 (2009)
Volume 42 (2008)
Volume 41 (2007)
Keywords = binding number
Number of Articles: 9
On the J-Tightness of Graphs
Articles in Press, Accepted Manuscript, Available Online from 14 January 2022
Abstract
We introduce a new invariant vulnerability parameter named “J-Tightness” or “J(G)” for graphs. As a stability measure, its properties along with comparisons to other parameters of a graph are proposed. We show how it is calculated for complete graphs and cycles. We show that J-Tightness ... Read MoreA Survey on Tenacity Parameter\\Part II
Volume 54, Issue 1 , June 2022, , Pages 47-72
Abstract
In this paper, we study the edge tenacity of graphs. We will be primarilyinterested in edge-tenacious graphs, which can be considered very stable and are somewhat analogous in edge tenacityto honest graphs in edge-integrity. We show several results about edge-tenacious graphs as well asfind numerous ... Read MoreOn the J-Tightness of Graphs
Volume 53, Issue 2 , December 2021, , Pages 57-74
Abstract
We introduce a new invariant vulnerability parameter named “J-Tightness” or “J(G)” for graphs. As a stability measure, its properties along with comparisons to other parameters of a graph are proposed. We show how it is calculated for complete graphs and cycles. We show that J-Tightness ... Read MoreA Survey on Tenacity Parameter\\Part I
Volume 53, Issue 1 , June 2021, , Pages 181-196
Abstract
If we think of the graph as modeling a network, the vulnerability measurethe resistance of the network to disruption of operation after the failure of certainstations or communication links. In assessing the "vulnerability"of a graph one determines the extent to which the graph retains certainproperties ... Read MoreVulnerability in Networks - A Survey
Volume 50, Issue 1 , June 2018, , Pages 109-118
Abstract
The analysis of vulnerability in networks generally involves some questionsabout how the underlying graph is connected. One is naturally interestedin studying the types of disruption in the network that maybe causedby failures of certain links or nodes. In terms of a graph, the concept ofconnectedness ... Read MoreVulnerability Measure of a Network - a Survey
Volume 49, Issue 2 , December 2017, , Pages 33-40
Abstract
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 ... Read MoreTenacity and some related results
Volume 49, Issue 1 , June 2017, , Pages 83-91
Abstract
Conceptually graph vulnerability relates to the study of graphintactness when some of its elements are removed. The motivation forstudying vulnerability measures is derived from design and analysisof networks under hostile environment. Graph tenacity has been anactive area of research since the the concept ... Read MoreA Survey on Stability Measure of Networks
Volume 48, Issue 1 , December 2016, , Pages 141-148
Abstract
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. Read MoreA Survey On the Vulnerability Parameters of Networks
Volume 48, Issue 1 , December 2016, , Pages 155-162