Strongly distance-balanced graphs and graph products

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Strongly distance-balanced graphs and graph products

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dc.contributor.author Kannan, Balakrishnan
dc.contributor.author Manoj, Changat
dc.contributor.author Iztok, Peterin
dc.contributor.author Simon, Spacapan
dc.contributor.author Primoz, Sparl
dc.contributor.author Ajitha, Subhamathi R
dc.date.accessioned 2014-07-22T05:57:07Z
dc.date.available 2014-07-22T05:57:07Z
dc.date.issued 2008-10-31
dc.identifier.uri http://dyuthi.cusat.ac.in/purl/4198
dc.description European Journal of Combinatorics 30 (2009) 1048- 1053 en_US
dc.description.abstract A graph G is strongly distance-balanced if for every edge uv of G and every i 0 the number of vertices x with d.x; u/ D d.x; v/ 􀀀 1 D i equals the number of vertices y with d.y; v/ D d.y; u/ 􀀀 1 D i. It is proved that the strong product of graphs is strongly distance-balanced if and only if both factors are strongly distance-balanced. It is also proved that connected components of the direct product of two bipartite graphs are strongly distancebalanced if and only if both factors are strongly distance-balanced. Additionally, a new characterization of distance-balanced graphs and an algorithm of time complexity O.mn/ for their recognition, wheremis the number of edges and n the number of vertices of the graph in question, are given en_US
dc.description.sponsorship Cochin University of Science and Technology en_US
dc.language.iso en en_US
dc.publisher Elsevier en_US
dc.title Strongly distance-balanced graphs and graph products en_US
dc.type Article en_US


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