On the distance spectra of graphs

DOI10.1016/j.laa.2016.02.018zbMath1331.05131arXiv1509.01196OpenAlexW1753959406MaRDI QIDQ254892

Kristin Heysse, Aida Abiad, Jessica De Silva, Jay Cummings, Michael Tait, Zhanar Berikkyzy, Franklin H. J. Kenter, Jephian C.-H. Lin, Wei Gao, Leslie Hogben, Ghodratollah Aalipour

Publication date: 8 March 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.01196

zbMATH Keywords

grapheigenvaluestrongly regular graphdeterminantinertiadistance regular graphdistance matrixbarbell graphdistance spectrumDoob graphdouble odd graphKneser graphlollipop graphoptimistic graph

Mathematics Subject Classification ID

Graph polynomials (05C31) Determinants, permanents, traces, other special matrix functions (15A15) Association schemes, strongly regular graphs (05E30) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Distance in graphs (05C12)

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Cites Work

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• HYPERMETRIC GRAPHS
• On the minimum number of distinct eigenvalues for a symmetric matrix whose graph is a given tree
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