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 = toughness
Number of Articles: 5
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 MoreA Survey on Stability Measure of Networks
Volume 48, Issue 1 , December 2016, , Pages 141-148