Neighbor Rupture Degree of Some Middle Graphs
نویسندگان
چکیده
منابع مشابه
Rupture degree of graphs
We introduce a new graph parameter, the rupture degree. The rupture degree for a complete graph Kn is defined as 1 − n, and the rupture degree for an incomplete connected graph G is defined by r(G) = max{ω(G − X)− |X| − m(G − X) : X ⊂ V(G),ω(G − X) > 1}, where ω(G − X) is the number of components of G − X and m(G − X) is the order of a largest component of G − X . It is shown that this paramete...
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In a communication network, the vulnerability parameters measure the resistance of the network to disruption of operation after the failure of certain stations or communication links. A vertex subversion strategy of a graphG, say S, is a set of vertices inGwhose closed neighborhood is removed from G. The survival subgraph is denoted by G/S. The neighbor rupture degree of G, Nr(G), is defined to...
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Computer or communication networks are so designed that they do not easily get disrupted under external attack and, moreover, these are easily reconstructed when they do get disrupted. These desirable properties of networks can be measured by various parameters such as connectivity, toughness, tenacity and rupture degree. Among these parameters, rupture degree is comparatively better parameter ...
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ژورنال
عنوان ژورنال: Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi
سال: 2017
ISSN: 1308-6529
DOI: 10.19113/sdufbed.09657