The Distance Matrices of Some Graphs Related to Wheel Graphs

Xiaoling Zhang and Chengyuan Song

Journal of Applied Mathematics, 2013, vol. 2013, 1-5

Abstract:

Let denote the distance matrix of a connected graph . The inertia of is the triple of integers ( ), where , , and denote the number of positive, 0, and negative eigenvalues of , respectively. In this paper, we mainly study the inertia of distance matrices of some graphs related to wheel graphs and give a construction for graphs whose distance matrices have exactly one positive eigenvalue.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:707954

DOI: 10.1155/2013/707954

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