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On distance matrices of wheel graphs with an odd number of vertices
, R.B. Bapat, S. Goel
Published in Taylor and Francis Ltd.
2020
Abstract
Let (Formula presented.) denote the wheel graph having n-vertices. If i and j are any two vertices of (Formula presented.), define (Formula presented.) Let D be the (Formula presented.) matrix with (Formula presented.) entry equal to (Formula presented.). The matrix D is called the distance matrix of (Formula presented.). Suppose (Formula presented.) is an odd integer. In this paper, we deduce a formula to compute the Moore-Penrose inverse of D. More precisely, we obtain an (Formula presented.) matrix (Formula presented.) and a rank one matrix (Formula presented.) such that (Formula presented.) Here, (Formula presented.) is positive semidefinite, (Formula presented.) and all row sums are equal to zero. © 2020 Informa UK Limited, trading as Taylor & Francis Group.
About the journal
JournalData powered by TypesetLinear and Multilinear Algebra
PublisherData powered by TypesetTaylor and Francis Ltd.
ISSN03081087
Open AccessFalse