A Note on Star Product Arising from Cycles


Abstract eng:
Bermond, Delorme and Farhi (1984) introduced the concept of a star product of two graphs and, in connection with degree diameter problem, investigated the diameter of a star product of the complete graph of order 2 with a cycle of length 2a2 + 2a + 1. In this note we extend the diameter analysis to cycles of arbitrary length and show that all such star products are isomorphic to the generalized Petersen graphs.

Contributors:
Publisher:
Slovak University of Technology in Bratislava, Faculty of Civil Engineering, 2008
Conference Title:
Conference Title:
International Scientific Conference 70 Years of FCE STU
Conference Venue:
Bratislava (SK)
Conference Dates:
2008-12-04 / 2008-12-05
Rights:
Text je chráněný podle autorského zákona č. 121/2000 Sb.



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 Record created 2014-11-05, last modified 2014-11-18


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