Popov V.V. On the holls and antyholls in rotatable graphs

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Popov Vladimir Valentinovich
 
Candidate of Physics and Mathematics, Associate Professor, Department of Computer Science and Experimental Mathematics, Volgograd State University
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Prospekt Universitetskij, 100, 400062 Volgograd, Russian Federation
 
Abstract. It proves, that if G is a non-empty and non-complete rotatable graph and the number n of his vertices is prime, then G contains a hole or antyhole of the lenght≥5.
 
Key words: spanning graphs, cycle, hole, antihole, Berge’s conjecture.
 
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On the holls and antyholls in rotatable graphs by Popov V.V. is licensed under a Creative Commons Attribution 4.0 International License.
 
Citation in English: Science Journal of Volgograd State University. Mathematics. Physics. Issue 13 2010 pp. 41-46
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