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Diskretnyi Analiz i Issledovanie Operatsii, 2015, Volume 22, Issue 1, Pages 86–99
DOI: https://doi.org/10.17377/daio.2015.22.443 (Mi da808) 		 
About searching for antipodal vertexes in symmetric Cayley graphs

I. M. Khuziev

Moscow Institute of Physics and Technology, 5/2 Pervomaiskaya St., 141700 Dolgoprudnyi, Russia
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DOI: https://doi.org/10.17377/daio.2015.22.443
Abstract: We present the antipodality relation and search for an antipodal vertex. We also give a randomized algorithm solving the oracle problem in symmetric Cayley graphs over group $\mathbb Z_2^n$. The number of queries is polynomial over the graph's degree. Ill. 1, bibliogr. 5.
Keywords: graph, automorphism, antipodality, oracle.
Received: 03.03.2014
Revised: 26.08.2014
English version:
Journal of Applied and Industrial Mathematics, 2015, Volume 9, Issue 2, Pages 206–214
DOI: https://doi.org/10.1134/S1990478915020064
Bibliographic databases:
Document Type: Article
UDC: 519.178
Language: Russian
Citation: I. M. Khuziev, “About searching for antipodal vertexes in symmetric Cayley graphs”, Diskretn. Anal. Issled. Oper., 22:1 (2015), 86–99; J. Appl. Industr. Math., 9:2 (2015), 206–214
Citation in format AMSBIB
\Bibitem{Khu15}
\by I.~M.~Khuziev
\paper About searching for antipodal vertexes in symmetric Cayley graphs
\jour Diskretn. Anal. Issled. Oper.
\yr 2015
\vol 22
\issue 1
\pages 86--99
\mathnet{http://mi.mathnet.ru/da808}
\crossref{https://doi.org/10.17377/daio.2015.22.443}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3408340}
\elib{https://elibrary.ru/item.asp?id=23134001}
\transl
\jour J. Appl. Industr. Math.
\yr 2015
\vol 9
\issue 2
\pages 206--214
\crossref{https://doi.org/10.1134/S1990478915020064}
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    		Дискретный анализ и исследование операций
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