Matches in SemOpenAlex for { <https://semopenalex.org/work/W2036738625> ?p ?o ?g. }
Showing items 1 to 98 of
98
with 100 items per page.
- W2036738625 endingPage "565" @default.
- W2036738625 startingPage "559" @default.
- W2036738625 abstract "A graph is 1- regular if its automorphism group acts regularly on the set of its arcs. Miller [J. Comb. Theory, B , 10 (1971), 163–182] constructed an infinite family of cubic 1-regular graphs of order 2 p, where p ≥ 13 is a prime congruent to 1 modulo 3. Marušič and Xu [ J. Graph Theory, 25 (1997), 133–138] found a relation between cubic 1-regular graphs and tetravalent half-transitive graphs with girth 3 and Alspach et al. [ J. Aust. Math. Soc. A, 56 (1994), 391–402] constructed infinitely many tetravalent half-transitive graphs with girth 3. Using these results, Miller’s construction can be generalized to an infinite family of cubic 1-regular graphs of order 2n , where n ≥ 13 is odd such that 3 divides ϕ(n), the Euler function of n. In this paper, we construct an infinite family of cubic 1-regular graphs with order 8(k2 + k + 1)(k ≥ 2) as cyclic-coverings of the three-dimensional Hypercube." @default.
- W2036738625 created "2016-06-24" @default.
- W2036738625 creator A5052125382 @default.
- W2036738625 creator A5085576668 @default.
- W2036738625 date "2002-07-01" @default.
- W2036738625 modified "2023-09-27" @default.
- W2036738625 title "Constructing an Infinite Family of Cubic 1-Regular Graphs" @default.
- W2036738625 cites W1965131308 @default.
- W2036738625 cites W1966233542 @default.
- W2036738625 cites W1972017606 @default.
- W2036738625 cites W2011335266 @default.
- W2036738625 cites W2025311671 @default.
- W2036738625 cites W2037860586 @default.
- W2036738625 cites W2044439229 @default.
- W2036738625 cites W2058802305 @default.
- W2036738625 cites W2068845873 @default.
- W2036738625 cites W2077403381 @default.
- W2036738625 cites W2077701667 @default.
- W2036738625 cites W2124856895 @default.
- W2036738625 cites W2125732536 @default.
- W2036738625 cites W2129521459 @default.
- W2036738625 cites W2156454344 @default.
- W2036738625 cites W2160427895 @default.
- W2036738625 cites W2320777555 @default.
- W2036738625 cites W2321186912 @default.
- W2036738625 cites W2332090664 @default.
- W2036738625 cites W4250181037 @default.
- W2036738625 doi "https://doi.org/10.1006/eujc.2002.0589" @default.
- W2036738625 hasPublicationYear "2002" @default.
- W2036738625 type Work @default.
- W2036738625 sameAs 2036738625 @default.
- W2036738625 citedByCount "20" @default.
- W2036738625 countsByYear W20367386252013 @default.
- W2036738625 countsByYear W20367386252014 @default.
- W2036738625 countsByYear W20367386252018 @default.
- W2036738625 countsByYear W20367386252020 @default.
- W2036738625 countsByYear W20367386252021 @default.
- W2036738625 crossrefType "journal-article" @default.
- W2036738625 hasAuthorship W2036738625A5052125382 @default.
- W2036738625 hasAuthorship W2036738625A5085576668 @default.
- W2036738625 hasBestOaLocation W20367386251 @default.
- W2036738625 hasConcept C100500283 @default.
- W2036738625 hasConcept C10138342 @default.
- W2036738625 hasConcept C102192266 @default.
- W2036738625 hasConcept C114614502 @default.
- W2036738625 hasConcept C118615104 @default.
- W2036738625 hasConcept C118712358 @default.
- W2036738625 hasConcept C132525143 @default.
- W2036738625 hasConcept C14201764 @default.
- W2036738625 hasConcept C160446614 @default.
- W2036738625 hasConcept C162324750 @default.
- W2036738625 hasConcept C182306322 @default.
- W2036738625 hasConcept C184992742 @default.
- W2036738625 hasConcept C203776342 @default.
- W2036738625 hasConcept C206815938 @default.
- W2036738625 hasConcept C22149727 @default.
- W2036738625 hasConcept C2988750069 @default.
- W2036738625 hasConcept C33923547 @default.
- W2036738625 hasConcept C54732982 @default.
- W2036738625 hasConceptScore W2036738625C100500283 @default.
- W2036738625 hasConceptScore W2036738625C10138342 @default.
- W2036738625 hasConceptScore W2036738625C102192266 @default.
- W2036738625 hasConceptScore W2036738625C114614502 @default.
- W2036738625 hasConceptScore W2036738625C118615104 @default.
- W2036738625 hasConceptScore W2036738625C118712358 @default.
- W2036738625 hasConceptScore W2036738625C132525143 @default.
- W2036738625 hasConceptScore W2036738625C14201764 @default.
- W2036738625 hasConceptScore W2036738625C160446614 @default.
- W2036738625 hasConceptScore W2036738625C162324750 @default.
- W2036738625 hasConceptScore W2036738625C182306322 @default.
- W2036738625 hasConceptScore W2036738625C184992742 @default.
- W2036738625 hasConceptScore W2036738625C203776342 @default.
- W2036738625 hasConceptScore W2036738625C206815938 @default.
- W2036738625 hasConceptScore W2036738625C22149727 @default.
- W2036738625 hasConceptScore W2036738625C2988750069 @default.
- W2036738625 hasConceptScore W2036738625C33923547 @default.
- W2036738625 hasConceptScore W2036738625C54732982 @default.
- W2036738625 hasIssue "5" @default.
- W2036738625 hasLocation W20367386251 @default.
- W2036738625 hasOpenAccess W2036738625 @default.
- W2036738625 hasPrimaryLocation W20367386251 @default.
- W2036738625 hasRelatedWork W1994080156 @default.
- W2036738625 hasRelatedWork W1994096076 @default.
- W2036738625 hasRelatedWork W2036738625 @default.
- W2036738625 hasRelatedWork W2044404675 @default.
- W2036738625 hasRelatedWork W2054628217 @default.
- W2036738625 hasRelatedWork W2073683849 @default.
- W2036738625 hasRelatedWork W2079448850 @default.
- W2036738625 hasRelatedWork W2588634152 @default.
- W2036738625 hasRelatedWork W2891457673 @default.
- W2036738625 hasRelatedWork W3010896731 @default.
- W2036738625 hasVolume "23" @default.
- W2036738625 isParatext "false" @default.
- W2036738625 isRetracted "false" @default.
- W2036738625 magId "2036738625" @default.
- W2036738625 workType "article" @default.