Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Diana Combe"'
Publikováno v:
Discrete Mathematics. 346:113277
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b2a2553e3680297b3cbabf81802a56ba
https://doi.org/10.1016/j.disc.2022.113277
https://doi.org/10.1016/j.disc.2022.113277
Publikováno v:
Journal of Combinatorial Designs. 28:614-628
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ecdbfc79d6c2153b8533c488d6b22502
https://doi.org/10.1002/jcd.21719
https://doi.org/10.1002/jcd.21719
Publikováno v:
Discrete Mathematics. 345:112983
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5ea310d237c6d230241c7bf284bba78c
https://doi.org/10.1016/j.disc.2022.112983
https://doi.org/10.1016/j.disc.2022.112983
In this paper we provide a $4$-GDD of type $2^2 5^5$, thereby solving the existence question for the last remaining feasible type for a $4$-GDD with no more than $30$ points. We then show that $4$-GDDs of type $2^t 5^s$ exist for all but a finite spe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5887c691643b73eabf7a959b6f73a65e
Publikováno v:
Discrete Mathematics. 345:112740
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0989b89e27aaa5ebe60b3c8e236b1d0a
https://doi.org/10.1016/j.disc.2021.112740
https://doi.org/10.1016/j.disc.2021.112740
Publikováno v:
Discrete Mathematics. 344:112479
In this paper we give two new refinements to the known necessary conditions for the existence of a 4-GDD and list all the feasible group types for 4-GDDs where the number of points v satisfies 31 ≤ v ≤ 50 . For v in this range, we obtain solution
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5187df96b053b4a5f0affe3f3b38d069
https://doi.org/10.1016/j.disc.2021.112479
https://doi.org/10.1016/j.disc.2021.112479
Publikováno v:
Discrete Mathematics. 340:2925-2940
We introduce a new piecewise construction technique for generalised Bhaskar Rao designs and the concepts of generalised Bhaskar Rao block design pieces and holey generalised Bhaskar Rao block designs. We prove composition theorems for these designs.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3c66b81c59767588e3abbd71ea8cb685
https://doi.org/10.1016/j.disc.2017.07.023
https://doi.org/10.1016/j.disc.2017.07.023
Publikováno v:
Designs, Codes and Cryptography. 69:189-201
We show that the established necessary conditions for a GBRD $${(v,3,\lambda; \mathbb {G})}$$ are sufficient (i) when $${\mathbb {G}}$$ is supersolvable and (ii) when $${\mathbb {G}}$$ is solvable with $${\vert \mathbb {G} \vert }$$ prime to 3.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6a5a29e4b823cae79feeb2fd3513a3ef
https://doi.org/10.1007/s10623-012-9646-x
https://doi.org/10.1007/s10623-012-9646-x
Publikováno v:
Designs, Codes and Cryptography. 61:285-300
Chaudhry et al. (J Stat Plann Inference 106:303---327, 2002) have examined the existence of BRD(v, 5, ?)s for $${\lambda \in \{4, 10, 20\}}$$ . In addition, Ge et al. (J Combin Math Combin Comput 46:3---45, 2003) have investigated the existence of $$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0c50da1b6fc4ae972cc732cf40532507
https://doi.org/10.1007/s10623-010-9477-6
https://doi.org/10.1007/s10623-010-9477-6
Publikováno v:
Discrete Mathematics. 310:1080-1088
There are well-known necessary conditions for the existence of a generalized Bhaskar Rao design over a group G, with block size k=3. It has been conjectured that these necessary conditions are indeed sufficient. We prove that they are sufficient for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b7904dce922a53283000c9c2e41cc5a7
https://doi.org/10.1016/j.disc.2009.11.008
https://doi.org/10.1016/j.disc.2009.11.008