**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: 6

##### Tenacity and some related results

*Volume 49, Issue 1 , June 2017, , Pages 83-91*

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**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 ...
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##### On the tenacity of cycle permutation graph

*Volume 48, Issue 1 , December 2016, , Pages 37-44*

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**Abstract **

A special class of cubic graphs are the cycle permutation graphs. A cycle permutation graph Pn(α) is defined by taking two vertex-disjoint cycles on n vertices and adding a matching between the vertices of the two cycles.In this paper we determine a good upper bound for tenacity of cycle permutation ...
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##### Towards a measure of vulnerability, tenacity of a Graph

*Volume 48, Issue 1 , December 2016, , Pages 149-153*

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**Abstract **

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 ...
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##### A Survey On the Vulnerability Parameters of Networks

*Volume 48, Issue 1 , December 2016, , Pages 155-162*

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**Abstract **

The analysis of vulnerability in networks generally involves some questions about how the underlying graph is connected. One is naturally interested in studying the types of disruption in the network that maybe caused by failures of certain links or nodes. In terms of a graph, the concept of connectedness ...
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##### A Survey on Complexity of Integrity Parameter

*Volume 47, Issue 1 , June 2016, , Pages 11-19*

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**Abstract **

Many graph theoretical parameters have been used to describe the vulnerability of communication networks, including toughness, binding number, rate of disruption, neighbor-connectivity, integrity, mean integrity, edgeconnectivity vector, l-connectivity and tenacity. In this paper we discuss Integrity ...
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##### Toughness of the Networks with Maximum Connectivity

*Volume 46, Issue 1 , December 2015, , Pages 51-71*