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Some spectral and quasi-spectral characterizations of distance-regular graphs

Abiad Monge,Aida
; 
van Dam,Edwin R.
; 
Fiol,M.A.
Abstract
In this paper we consider the concept of preintersection numbers of a graph. These numbers are determined by the spectrum of the adjacency matrix of the graph, and generalize the intersection numbers of a distance-regular graph. By using the preintersection numbers we give some new spectral and quasi-spectral characterizations of distance-regularity, in particular for graphs with large girth or large odd-girth.
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Date
2016-10
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Tilburg University Research Output Collection
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Keywords
distance-regular graph, Eigenvalues, girth, odd-girth, preintersection numbers
Citation
Abiad Monge, A, van Dam, E R & Fiol, M A 2016, 'Some spectral and quasi-spectral characterizations of distance-regular graphs', Journal of Combinatorial Theory Series A, vol. 143, pp. 1-18. https://doi.org/10.1016/j.jcta.2016.04.004
URI
https://hdl.handle.net/20.500.14602/65113
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