Please use this identifier to cite or link to this item: https://www.um.edu.mt/library/oar/handle/123456789/28283
Title: Complete graphs with zero diagonal inverse
Authors: Farrugia, Alexander
Gauci, John Baptist
Sciriha, Irene
Keywords: Complete graphs
Mathematics
Issue Date: 2016
Publisher: Society of Mathematicians, Physicists and Astronomers of Slovenia
Citation: Farrugia, A., Gauci, J. B., & Sciriha, I. (2016). Complete graphs with zero diagonal inverse. Ars Mathematica Contemporanea, 11(2), 231-245.
Abstract: If the inverse of a non-singular real symmetric matrix that represents an edge-weighted graph with no loops has zero diagonal, then the inverse itself is the matrix of a loopless graph. Here we show that such graphs having non-zero weight on each edge always exist if their number of vertices is at least 6.
URI: https://www.um.edu.mt/library/oar//handle/123456789/28283
ISSN: 18553966
Appears in Collections:Scholarly Works - FacSciMat

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