Matches in SemOpenAlex for { <https://semopenalex.org/work/W2001036152> ?p ?o ?g. }
Showing items 1 to 80 of
80
with 100 items per page.
- W2001036152 endingPage "3405" @default.
- W2001036152 startingPage "3392" @default.
- W2001036152 abstract "Let J be a set of positive integers. Suppose m>1 and H is a complete m-partite graph with vertex set V and m groups G1,G2,…,Gm. Let |V|=v and G={G1,G2,…,Gm}. If the edges of λH can be partitioned into a set C of cycles with lengths from J, then (V,G,C) is called a cycle group divisible design with index λ and order v, denoted by (J,λ)-CGDD. A (J,λ)-cycle frame is a (J,λ)-CGDD (V,G,C) in which C can be partitioned into holey 2-factors, each holey 2-factor being a partition of V∖Gi into cycles for some Gi∈G. The existence of (k,λ)-cycle frames of type gu with 3≤k≤6 has been solved completely. In this paper, we show that there exists a ({3,5},λ)-cycle frame of type gu for any u≥4, λg≡0(mod2), (g,u)≠(1,5),(1,8) and (g,u,λ)≠(2,5,1). A k-cycle system of order n whose cycle set can be partitioned into (n−1)/2 almost parallel classes and a half-parallel class is called an almost resolvable k-cycle system, denoted by k-ARCS(n). It has been proved that for k∈{3,4,5,6,7,8,9,10,14} there exists a k-ARCS(2kt+1) for each positive integer t with three exceptions and four possible exceptions. In this paper, we shall show that there exists a k-ARCS(2kt+1) for all t≥1, 11≤k≤49, k≡1(mod2) and t≠2,3,5." @default.
- W2001036152 created "2016-06-24" @default.
- W2001036152 creator A5035639049 @default.
- W2001036152 creator A5058117222 @default.
- W2001036152 date "2012-11-01" @default.
- W2001036152 modified "2023-09-26" @default.
- W2001036152 title "More results on cycle frames and almost resolvable cycle systems" @default.
- W2001036152 cites W1541637185 @default.
- W2001036152 cites W1979984579 @default.
- W2001036152 cites W1990003137 @default.
- W2001036152 cites W2003291535 @default.
- W2001036152 cites W2018363124 @default.
- W2001036152 cites W2020891528 @default.
- W2001036152 cites W2033995287 @default.
- W2001036152 cites W2064948589 @default.
- W2001036152 cites W2068457180 @default.
- W2001036152 doi "https://doi.org/10.1016/j.disc.2012.08.002" @default.
- W2001036152 hasPublicationYear "2012" @default.
- W2001036152 type Work @default.
- W2001036152 sameAs 2001036152 @default.
- W2001036152 citedByCount "11" @default.
- W2001036152 countsByYear W20010361522013 @default.
- W2001036152 countsByYear W20010361522015 @default.
- W2001036152 countsByYear W20010361522016 @default.
- W2001036152 countsByYear W20010361522017 @default.
- W2001036152 countsByYear W20010361522018 @default.
- W2001036152 countsByYear W20010361522019 @default.
- W2001036152 countsByYear W20010361522021 @default.
- W2001036152 crossrefType "journal-article" @default.
- W2001036152 hasAuthorship W2001036152A5035639049 @default.
- W2001036152 hasAuthorship W2001036152A5058117222 @default.
- W2001036152 hasBestOaLocation W20010361521 @default.
- W2001036152 hasConcept C10138342 @default.
- W2001036152 hasConcept C114614502 @default.
- W2001036152 hasConcept C118615104 @default.
- W2001036152 hasConcept C132525143 @default.
- W2001036152 hasConcept C162324750 @default.
- W2001036152 hasConcept C177264268 @default.
- W2001036152 hasConcept C182306322 @default.
- W2001036152 hasConcept C199360897 @default.
- W2001036152 hasConcept C33923547 @default.
- W2001036152 hasConcept C41008148 @default.
- W2001036152 hasConcept C42812 @default.
- W2001036152 hasConcept C80899671 @default.
- W2001036152 hasConcept C97137487 @default.
- W2001036152 hasConceptScore W2001036152C10138342 @default.
- W2001036152 hasConceptScore W2001036152C114614502 @default.
- W2001036152 hasConceptScore W2001036152C118615104 @default.
- W2001036152 hasConceptScore W2001036152C132525143 @default.
- W2001036152 hasConceptScore W2001036152C162324750 @default.
- W2001036152 hasConceptScore W2001036152C177264268 @default.
- W2001036152 hasConceptScore W2001036152C182306322 @default.
- W2001036152 hasConceptScore W2001036152C199360897 @default.
- W2001036152 hasConceptScore W2001036152C33923547 @default.
- W2001036152 hasConceptScore W2001036152C41008148 @default.
- W2001036152 hasConceptScore W2001036152C42812 @default.
- W2001036152 hasConceptScore W2001036152C80899671 @default.
- W2001036152 hasConceptScore W2001036152C97137487 @default.
- W2001036152 hasFunder F4320321001 @default.
- W2001036152 hasIssue "22" @default.
- W2001036152 hasLocation W20010361521 @default.
- W2001036152 hasOpenAccess W2001036152 @default.
- W2001036152 hasPrimaryLocation W20010361521 @default.
- W2001036152 hasRelatedWork W1719252778 @default.
- W2001036152 hasRelatedWork W2014512309 @default.
- W2001036152 hasRelatedWork W2031098440 @default.
- W2001036152 hasRelatedWork W2301742412 @default.
- W2001036152 hasRelatedWork W2741543745 @default.
- W2001036152 hasRelatedWork W2905129508 @default.
- W2001036152 hasRelatedWork W2991815258 @default.
- W2001036152 hasRelatedWork W3178517900 @default.
- W2001036152 hasRelatedWork W4244487191 @default.
- W2001036152 hasRelatedWork W922283457 @default.
- W2001036152 hasVolume "312" @default.
- W2001036152 isParatext "false" @default.
- W2001036152 isRetracted "false" @default.
- W2001036152 magId "2001036152" @default.
- W2001036152 workType "article" @default.