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Hamiltonian cycles in Cayley graphs whose order has few prime factorsKutnar, Klavdija, 1980- ...We prove that if Cay▫$(G; S)$▫ is a connected Cayley graph with ▫$n$▫ vertices, and the prime factorization of ▫$n$▫ is very small, then Cay▫$(G; S)$▫ has a hamiltonian cycle. More precisely, if ... ▫$p$▫, ▫$q$▫, and ▫$r$▫ are distinct primes, then ▫$n$▫ can be of the form kp with ▫$24 \ne k < 32$▫, or of the form ▫$kpq$▫ with ▫$k \le 5$▫, or of the form ▫$pqr$▫, or of the form ▫$kp^2$▫ with ▫$k \le 4$▫, or of the form ▫$kp^3$▫ with ▫$k \le 2$▫.Source: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 5, no. 1, 2012, str. 27-71)Type of material - article, component part ; adult, seriousPublish date - 2012Language - englishCOBISS.SI-ID - 1024371028
Author
Kutnar, Klavdija, 1980- |
Marušič, Dragan |
Morris, D. W. |
Morris, Joy |
Šparl, Primož
Topics
teorija grafov |
Cayleyjevi grafi |
hamiltonski cikli |
graph theory |
Cayley graphs |
hamiltonian cycles
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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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Kutnar, Klavdija, 1980- | 24997 |
Marušič, Dragan | 02887 |
Morris, D. W. | |
Morris, Joy | |
Šparl, Primož | 23341 |
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