Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Qingde Kang"'
Autor:
Qingde Kang, Yuanyuan Liu
Publikováno v:
Discrete Mathematics. 338:1573-1576
Extended triple systems are firstly introduced by Johnson and Mendelson (1972). The existence of the large sets of extended directed triple systems L E D T S ( v ) has been basically solved except possibly five orders v = 95 , 143 , 167 , 203 , 215 ,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e374ca25aef94bdb099af27db04fd133
https://doi.org/10.1016/j.disc.2015.04.003
https://doi.org/10.1016/j.disc.2015.04.003
Autor:
Hongtao Zhao, Qingde Kang
Publikováno v:
Graphs and Combinatorics. 31:2481-2491
In this paper, we give necessary and sufficient conditions for the existence of large sets of almost Hamilton cycle decompositions of $$\lambda K_{m,n}$$?Km,n. We also give necessary and sufficient conditions for the existence of large sets of almost
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::27752e73fa7fa0ede5dae8a5b750c55f
https://doi.org/10.1007/s00373-014-1513-2
https://doi.org/10.1007/s00373-014-1513-2
Publikováno v:
Graphs and Combinatorics. 30:1301-1318
Let Meta(H > T, ?) denote the set of all integers v such that there exists a (H > T)-GM ? (v). In this paper, the set Meta(H > T, ?) will be completely determined for the following 21 pairs (H, T) = (H 1, P 2), (H 2, 2P 2), (H 3, P 3) and (H 4, P 4),
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c52660cdec05d52aaf26d66b0e43a9b
https://doi.org/10.1007/s00373-013-1332-x
https://doi.org/10.1007/s00373-013-1332-x
Publikováno v:
Graphs and Combinatorics. 29:1007-1040
The maximum packing C 8-max PD(v) and minimum covering C 8-minCD(v) of K v with 8-cycles are studied, all structures with the nonisomorphic leave (excess) are presented. In Li et al. (Graphs Combin 25:735---752, 2009), C 8-max PD(v) and C 8-minCD(v)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::88de5bacd6bdc886e2528dff57d66f61
https://doi.org/10.1007/s00373-012-1167-x
https://doi.org/10.1007/s00373-012-1167-x
Autor:
Qingde Kang, Hongtao Zhao
Publikováno v:
Graphs and Combinatorics. 29:145-155
In this paper, we determine the existence spectrums for large sets of Hamilton cycle and path (resp. directed Hamilton cycle and path) decompositions of ?K m, n (resp. $${\lambda K^{*}_{m,n}}$$ ).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0722dffef8c1c3201c0711a19ae1093f
https://doi.org/10.1007/s00373-011-1088-0
https://doi.org/10.1007/s00373-011-1088-0
Publikováno v:
European Journal of Combinatorics. 32:464-471
Let L={@l"1,...,@l"s} be a set of s non-negative integers with @l"1 =2. A family F of subsets of an n-element set is called t-wise L-intersecting if the cardinality of the intersection of any t distinct members in F belongs to L. We give the followin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9a52037f9715354f7b60e941387f64ea
https://doi.org/10.1016/j.ejc.2010.11.009
https://doi.org/10.1016/j.ejc.2010.11.009
Autor:
Yuanyuan Liu, Qingde Kang
Publikováno v:
Discrete Mathematics. 310(24):3619-3632
For three types of triples, unordered, cyclic and transitive, the corresponding extended triple, extended triple system and their large set are introduced. The spectrum of LEDTS(v) for even v has been given in our paper (Liu and Kang (2009) [9]). In
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ad456554dc08947602d22410522af186
Autor:
QingDe Kang, YuanYuan Liu
Publikováno v:
Science China Mathematics. 53:2801-2810
A directed triple system of order v, denoted by DTS(v), is a pair (X, B )w hereX is a v-set and B is a collection of transitive triples on X such that every ordered pair of X belongs to exactly one triple of B.A DTS(v )( X, A) is called pure and deno
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::01f9a45e61ac9ff7789913d4539561ab
https://doi.org/10.1007/s11425-010-4071-y
https://doi.org/10.1007/s11425-010-4071-y
Autor:
Qingde Kang, Landang Yuan
Publikováno v:
Discrete Mathematics. 310(15-16):2119-2125
The determination of the existence of large sets of Kirkman triple systems (LKTS) is a classical combinatorial problem. In this paper we introduce a new concept OLGKS—overlarge sets of generalized Kirkman triple systems and show the relationship be
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4b78516702fa3432f51f46c1cee14589
Publikováno v:
Science China Mathematics. 53:2877-2888
A family (X, B1),(X, B2) ,..., (X, Bq )o fq STS(v)s is a λ-fold large set of STS(v) and denoted by LSTSλ(v) if every 3-subset of X is contained in exactly λ STS(v)s of the collection. It is indecomposable and denoted by IDLSTSλ(v) if there exists
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c7fb4bae3b20d8f6440ab936aa89904
https://doi.org/10.1007/s11425-010-3147-z
https://doi.org/10.1007/s11425-010-3147-z