| Title: | Strongly distance-balanced graphs and graph products |
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| Authors: | ID Balakrishnan, Kannan (Author)
ID Changat, Manoj (Author)
ID Peterin, Iztok (Author)
ID Špacapan, Simon (Author)
ID Šparl, Primož (Author)
ID Subhamathi, Ajitha R. (Author) |
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| Files: |  http://dx.doi.org/10.1016/j.ejc.2008.09.018
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| Language: | English |
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| Work type: | Not categorized |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FERI - Faculty of Electrical Engineering and Computer Science
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| Abstract: | A graph ▫$G$▫ is strongly distance-balanced if for every edge ▫$uv$▫ of ▫$G$▫ and every ▫$i ge 0$▫ the number of vertices ▫$x$▫ with ▫$d(x,u) = d(x,v)-1 = i$▫ equals the number of vertices ▫$y$▫ with ▫$d(y,v) = d(y,u)-1 = i$▫. 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 distance-balanced 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, where m is the number of edges and ▫$n$▫ the number of vertices of the graph in question, are given. |
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| Keywords: | matematika, teorija grafov, razdaljno uravnoteženi grafi, mathematics, graph theory, distance-balanced grapha |
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| Year of publishing: | 2008 |
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| Number of pages: | str. 1048-1053 |
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| Numbering: | Vol. 30, iss. 5 |
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| PID: | 20.500.12556/DKUM-51773  |
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| UDC: | 519.17 |
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| ISSN on article: | 0195-6698 |
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| COBISS.SI-ID: | 15079769 |
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| DOI: | 10.1016/j.ejc.2008.09.018 |
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| NUK URN: | URN:SI:UM:DK:E4TPOWHC |
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| Publication date in DKUM: | 10.07.2015 |
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| Views: | 2301 |
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| Downloads: | 102 |
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| Metadata: |    |
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| Categories: | Misc.
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