Zobrazeno 1 - 10
of 66
pro vyhledávání: '"Mohan S. Shrikhande"'
Autor:
Yury J. Ionin, Mohan S. Shrikhande
The aim of this book is to provide a unified exposition of the theory of symmetric designs with emphasis on recent developments. The authors cover the combinatorial aspects of the theory giving particular attention to the construction of symmetric de
Publikováno v:
Designs, Codes and Cryptography. 90:871-879
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6510506b2bc7cb4524643f2dc366377f
https://doi.org/10.1007/s10623-022-01016-4
https://doi.org/10.1007/s10623-022-01016-4
Publikováno v:
Journal of Algebraic Combinatorics. 54:1021-1045
Designs over edge-regular, co-edge-regular and amply regular graphs are investigated. Using linear algebra, we obtain lower bounds in certain inequalities involving the parameters of the designs. Some results on designs meeting the bounds are obtaine
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::919862c0ea91e9b3a53db71738638deb
https://doi.org/10.1007/s10801-021-01036-8
https://doi.org/10.1007/s10801-021-01036-8
Publikováno v:
Journal of Combinatorial Designs. 28:893-899
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0eefd8d91fde2a5db006dc1dee2dbde6
https://doi.org/10.1002/jcd.21752
https://doi.org/10.1002/jcd.21752
Publikováno v:
Journal of Combinatorial Designs. 28:670-687
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fc9f8b3242b43674481f32f1e5c9c652
https://doi.org/10.1002/jcd.21723
https://doi.org/10.1002/jcd.21723
Autor:
Mohan S. Shrikhande, Sharad S. Sane
Design theory is a branch of combinatorics with applications in number theory, coding theory and geometry. In this book the authors discuss the generalization of results and applications to quasi-symmetric designs. The coverage is comprehensive and w
Publikováno v:
Discrete Mathematics. 339:759-769
A quasi-symmetric design (QSD) is a ( v , k , λ ) design with two intersection numbers x , y , where 0 ? x < y < k . The block graph of QSD is a strongly regular graph (SRG). It is known that there are SRGs which are not block graphs of QSDs. We der
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7b2833aa283a3786240af1702a08727b
https://doi.org/10.1016/j.disc.2015.09.017
https://doi.org/10.1016/j.disc.2015.09.017
Publikováno v:
Designs, Codes and Cryptography. 63:73-86
In a recent paper, Pawale (Des Codes Cryptogr, 2010) investigated quasi-symmetric 2-(v, k, ?) designs with intersection numbers x > 0 and y = x + 2 with ? > 1 and showed that under these conditions either ? = x + 1 or ? = x + 2, or $${\mathcal{D}}$$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aa59be552a6282bc3fa0ca4e5742cbf2
https://doi.org/10.1007/s10623-011-9536-7
https://doi.org/10.1007/s10623-011-9536-7
Autor:
Tariq Alraqad, Mohan S. Shrikhande
Publikováno v:
Journal of Combinatorial Designs. 19:95-110
A λ-design is a family ℬ = {B1, B2, …, Bv} of subsets of X = {1, 2, …, v} such that |Bi∩Bj| = λ for all i≠jand not all Bi are of the same size. The only known example of λ-designs (called type-1 designs) are those obtained from symmetric
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::440b01d87f32ace56549c87521b33e32
https://doi.org/10.1002/jcd.20272
https://doi.org/10.1002/jcd.20272
Autor:
Tariq Alraqad, Mohan S. Shrikhande
Publikováno v:
Journal of Combinatorial Designs. 17:53-62
A Menon design of order h2 is a symmetric (4h2,2h2-h,h2-h)-design. Quasi-residual and quasi-derived designs of a Menon design have parameters 2-(2h2 + h,h2,h2-h) and 2-(2h2-h,h2-h,h2-h-1), respectively. In this article, regular Hadamard matrices are
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d411ab931f6fe222b368eb0bd0e35c95
https://doi.org/10.1002/jcd.20192
https://doi.org/10.1002/jcd.20192