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Resistance distances and the Kirchhoff index in Cayley graphs

✍ Scribed by Xing Gao; Yanfeng Luo; Wenwen Liu


Book ID
113564637
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
246 KB
Volume
159
Category
Article
ISSN
0166-218X

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Deletion and contraction identities for
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## Abstract We establish identities, which we call deletion and contraction identities, for the resistance values on an electrical network. As an application of these identities, we give an upper bound to the Kirchhoff index of a molecular graph. Our upper bound, expressed in terms of the set of ve