Zobrazeno 1 - 10
of 30
pro vyhledávání: '"J. R. Abel"'
Autor:
F. E. Bennett, R. J. R. Abel
Publikováno v:
Graphs and Combinatorics. 28:297-308
A twofold pentagon system of order v is a decomposition of the complete undirected 2-multigraph 2K v into pentagons. A twofold Steiner pentagon system of order v [TSPS(v)] is a twofold pentagon system such that every pair of distinct vertices is join
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ad9650eab88d14493e5dadeea6a4f162
https://doi.org/10.1007/s00373-011-1053-y
https://doi.org/10.1007/s00373-011-1053-y
Autor:
R. J. R. Abel, Frank E. Bennett
Publikováno v:
Designs, Codes and Cryptography. 57:383-397
Wang and Yin have established the existence of a directed BIBD with block size 7 and index 1 (a DBIBD(v, 7, 1)) for all v ? 1, 7 (mod 21) except for v = 22 and possibly for 68 other cases. In this paper, we reduce the number of possible exceptions to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8dd1599964dd6fee49376c2758adf272
https://doi.org/10.1007/s10623-010-9376-x
https://doi.org/10.1007/s10623-010-9376-x
Autor:
R. J. R. Abel, Frank E. Bennett
Publikováno v:
Discrete Mathematics. 310:1066-1079
In this paper we study (4,[email protected])-GDDs of type g^n possessing both the pan-decomposable property introduced by Granville, Moisiadis, Rees, On complementary decompositions of the complete graph, Graphs and Combinatorics 5 (1989) 57-61 and t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ae3bb7cd37f4cfcf026921c61e93dfbc
https://doi.org/10.1016/j.disc.2009.11.001
https://doi.org/10.1016/j.disc.2009.11.001
Publikováno v:
Graphs and Combinatorics. 25:767-788
Let v, k, and μ be positive integers. A tournament T of order k, briefly k-tournament, is a directed graph on k vertices in which there is exactly one directed edge between any two vertices. A (v, k, λ = 2μ)-BIBD is called T-orientable if for each
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::679b9d0455c711f89a2b354d149f6e39
https://doi.org/10.1007/s00373-010-0872-6
https://doi.org/10.1007/s00373-010-0872-6
Autor:
Gennian Ge, R. J. R. Abel
Publikováno v:
Journal of Combinatorial Designs. 17:39-52
It is well known that an ordered tournament OWh(v) exists if and only if v ≡ 1 (mod 4), v ≥ 5. An ordered triplewhist tournament on v players is said to have the three person property if no two games in the tournament have three common players. W
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3d960b5d118a8be547afb2367c9571ce
https://doi.org/10.1002/jcd.20185
https://doi.org/10.1002/jcd.20185
Publikováno v:
Discrete Mathematics. 308:5149-5173
In this paper we investigate the existence of holey self-orthogonal Latin squares with a symmetric orthogonal mate of type 2^nu^1 (HSOLSSOM(2^nu^1)). For u>=2, necessary conditions for existence of such an HSOLSSOM are that u must be even and n>=3u/2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b3aa6d6c38a5ff7c91ce4c409d6720f0
https://doi.org/10.1016/j.disc.2007.09.036
https://doi.org/10.1016/j.disc.2007.09.036
Autor:
R. J. R. Abel, Frank E. Bennett
Publikováno v:
Discrete Applied Mathematics. 156(5):780-793
A Steiner pentagon system of order v (SPS(v)) is said to be super-simple if its underlying (v,5,2)-BIBD is super-simple; that is, any two blocks of the BIBD intersect in at most two points. In this paper, it is shown that the necessary condition for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::455d22b637125aa0ef10589dc1f047ca
Autor:
Frank E. Bennett, R. J. R. Abel
Publikováno v:
Designs, Codes and Cryptography. 40:211-224
The basic necessary conditions for the existence of a (v, k, λ)-perfect Mendelsohn design (briefly (v, k, λ)-PMD) are v ≥ k and λ v(v - 1) ≡ 0 (mod k). These conditions are known to be sufficient in most cases, but certainly not in all. For k
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::42fae3c1dfb0b89b9e2e45046c298a74
https://doi.org/10.1007/s10623-006-0008-4
https://doi.org/10.1007/s10623-006-0008-4
Autor:
J.G. Blankner, James J. Pekar, Laurie E. Cutting, J. R. Abel, Stewart H. Mostofsky, A.M. Clements, Sheryl L. Rimrodt, Martha B. Denckla
Publikováno v:
Brain and Language. 98:150-158
Sex differences on language and visuospatial tasks are of great interest, with differences in hemispheric laterality hypothesized to exist between males and females. Some functional imaging studies examining sex differences have shown that males are
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::40bb24dfa0505edf6e7442f0ed405cca
https://doi.org/10.1016/j.bandl.2006.04.007
https://doi.org/10.1016/j.bandl.2006.04.007
Autor:
Frank E. Bennett, R. J. R. Abel
Publikováno v:
Journal of Combinatorial Designs. 13:239-267
In this paper, we look at the existence of (vK) pairwise balanced designs (PBDs) for a few sets K of prime powers ≥ 8 and also for a number of subsets K of {5, 6, 7, 8, 9}, which contain {5}. For K = {5, 7}, {5, 8}, {5, 7, 9}, we reduce the largest
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a7de6278a0b05e9a6af75d760a3b03bd
https://doi.org/10.1002/jcd.20036
https://doi.org/10.1002/jcd.20036