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Symmetry properties of generalized graph truncationsEiben, Eduard ; Jajcay, Robert ; Šparl, PrimožIn the generalized truncation construction, one replaces each vertex of a ▫$k$▫-regular graph ▫$\Gamma$▫ with a copy of a graph ▫$\Upsilon$▫ of order ▫$k$▫. We investigate the symmetry properties of ... the graphs constructed in this way, especially in connection to the symmetry properties of the graphs ▫$\Gamma$▫ and ▫$\Upsilon$▫ used in the construction. We demonstrate the usefulness of our results by using them to obtain a classification of cubic vertex-transitive graphs of girths ▫$3$▫, ▫$4$▫, and ▫$5$▫.Source: Journal of combinatorial theory. Series B. - ISSN 0095-8956 (Vol. 137, July 2019, str. 291-315)Type of material - article, component part ; adult, seriousPublish date - 2019Language - englishCOBISS.SI-ID - 18663257
Author
Eiben, Eduard |
Jajcay, Robert |
Šparl, Primož
Topics
truncation |
automorphism group, |
vertex-transitive graph |
girth
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source: Journal of combinatorial theory. Series B. - ISSN 0095-8956 (Vol. 137, July 2019, str. 291-315)
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Eiben, Eduard | ![]() |
Jajcay, Robert | 37724 |
Šparl, Primož | 23341 |
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