Matches in SemOpenAlex for { <https://semopenalex.org/work/W4287029473> ?p ?o ?g. }
Showing items 1 to 47 of
47
with 100 items per page.
- W4287029473 abstract "An one-factorization $mathcal{F}$ of the complete graph $K_n$ is ($l,C_k$), where $lgeq0$ and $kgeq4$ are integers, if the union $Fcup G$, for any $F,Ginmathcal{F}$, includes exactly $l$ (edge-disjoint) cycles of length $k$ ($lkleq n$). Moreover, a pair of orthogonal one-factorizations $mathcal{F}$ and $mathcal{G}$ of the complete graph $K_n$ is ($l,C_k$) if the union $Fcup G$, for any $Finmathcal{F}$ and $Ginmathcal{G}$, includes exactly $l$ cycles of length $k$. In this paper, we prove the following: if $qequiv11$ (mod 24) is an odd prime power, then there is a ($1,C_4$) one-factorization of $K_{q+1}$. Also, there is a pair of orthogonal ($2,C_4$) one-factorization of $K_{q+1}$." @default.
- W4287029473 created "2022-07-25" @default.
- W4287029473 creator A5041068736 @default.
- W4287029473 date "2021-08-02" @default.
- W4287029473 modified "2023-09-27" @default.
- W4287029473 title "On ($1,C_4$) one-factorization and two orthogonal ($2,C_4$) one-factorization of complete graphs" @default.
- W4287029473 doi "https://doi.org/10.48550/arxiv.2108.01209" @default.
- W4287029473 hasPublicationYear "2021" @default.
- W4287029473 type Work @default.
- W4287029473 citedByCount "0" @default.
- W4287029473 crossrefType "posted-content" @default.
- W4287029473 hasAuthorship W4287029473A5041068736 @default.
- W4287029473 hasBestOaLocation W42870294731 @default.
- W4287029473 hasConcept C11413529 @default.
- W4287029473 hasConcept C114614502 @default.
- W4287029473 hasConcept C118615104 @default.
- W4287029473 hasConcept C125080357 @default.
- W4287029473 hasConcept C132525143 @default.
- W4287029473 hasConcept C187834632 @default.
- W4287029473 hasConcept C33923547 @default.
- W4287029473 hasConcept C45340560 @default.
- W4287029473 hasConcept C7655956 @default.
- W4287029473 hasConceptScore W4287029473C11413529 @default.
- W4287029473 hasConceptScore W4287029473C114614502 @default.
- W4287029473 hasConceptScore W4287029473C118615104 @default.
- W4287029473 hasConceptScore W4287029473C125080357 @default.
- W4287029473 hasConceptScore W4287029473C132525143 @default.
- W4287029473 hasConceptScore W4287029473C187834632 @default.
- W4287029473 hasConceptScore W4287029473C33923547 @default.
- W4287029473 hasConceptScore W4287029473C45340560 @default.
- W4287029473 hasConceptScore W4287029473C7655956 @default.
- W4287029473 hasLocation W42870294731 @default.
- W4287029473 hasOpenAccess W4287029473 @default.
- W4287029473 hasPrimaryLocation W42870294731 @default.
- W4287029473 hasRelatedWork W1986479634 @default.
- W4287029473 hasRelatedWork W2809562705 @default.
- W4287029473 hasRelatedWork W2913539975 @default.
- W4287029473 hasRelatedWork W2952352293 @default.
- W4287029473 hasRelatedWork W2990229941 @default.
- W4287029473 hasRelatedWork W3189251616 @default.
- W4287029473 hasRelatedWork W4200085455 @default.
- W4287029473 hasRelatedWork W4250634982 @default.
- W4287029473 hasRelatedWork W4282568420 @default.
- W4287029473 hasRelatedWork W4287029473 @default.
- W4287029473 isParatext "false" @default.
- W4287029473 isRetracted "false" @default.
- W4287029473 workType "article" @default.