Zobrazeno 1 - 10
of 94
pro vyhledávání: '"Marco, Buratti"'
Autor:
Marco Buratti, Francesca Merola
Publikováno v:
Examples and Counterexamples, Vol 2, Iss , Pp 100063- (2022)
This note is motivated by recent work by Feng et al. (2021) which studies Novák’s conjecture for Steiner Triple Systems and extends it to cyclic Steiner 2-designs, and more generally to cyclic 2-designs. Here we consider instead a generalization t
Externí odkaz:
https://doaj.org/article/2c43c24d77e54332b2364d87a9358f56
Publikováno v:
Journal of Combinatorial Designs. 29:141-174
Let PG$(\mathbb{F}_q^v)$ be the $(v-1)$-dimensional projective space over $\mathbb{F}_q$ and let $\Gamma$ be a simple graph of order ${q^k-1\over q-1}$ for some $k$. A 2$-(v,\Gamma,\lambda)$ design over $\mathbb{F}_q$ is a collection $\cal B$ of grap
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::922aec82dc033936d3759c03cb395c1c
https://doi.org/10.1002/jcd.21761
https://doi.org/10.1002/jcd.21761
Autor:
Douglas R. Stinson, Marco Buratti
Publikováno v:
Ars Mathematica Contemporanea. 20:1-27
We prove new existence and nonexistence results for modular Golomb rulers in this paper. We completely determine which modular Golomb rulers of order $k$ exist, for all $k\leq 11$, and we present a general existence result that holds for all $k \geq
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7f7a34f4eb3bca7f9e33e1026be9064e
https://doi.org/10.26493/1855-3974.2374.9ff
https://doi.org/10.26493/1855-3974.2374.9ff
Autor:
Marco Buratti
Publikováno v:
Le Matematiche, Vol 59, Iss 1,2, Pp 91-105 (2004)
In some recent papers the method of partial differences introduced by the author in [4] was very helpful in the construction of cyclic cycle systems. Here we use and describe in all details this method for the purpose of constructing, more generally,
Externí odkaz:
https://doaj.org/article/f6d99737ae44424989aa66817ca55d66
Autor:
Dieter Jungnickel, Marco Buratti
Publikováno v:
Designs, Codes and Cryptography. 87:2461-2467
In a recent paper by the first author in this journal it was pointed out that the literature on zero-difference balanced functions is often repetitive and of little value. Indeed it was shown that some papers published in the last decade on this topi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5522865793ab9a952f79b6e2d207144e
https://doi.org/10.1007/s10623-019-00632-x
https://doi.org/10.1007/s10623-019-00632-x
Publikováno v:
Computer Science Journal of Moldova, Vol 9, Iss 2(26), Pp 259-272 (2001)
In [Discrete Math. 174, (1997) 247-259] an infinite class of STSs(2h - 1) was found with the upper chromatic number not(χ)=h. We prove that in this class, for all STSs(2h - 1) with h
Externí odkaz:
https://doaj.org/article/6143c7ada23c4749ba6a8aeaa61876e4
Autor:
Marco Buratti, Dieter Jungnickel
Two years ago, we alarmed the scientific community about the large number of bad papers in the literature on {\it zero difference balanced functions}, where direct proofs of seemingly new results are presented in an unnecessarily lengthy and convolut
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4b93236a5701a5fa474bec141a728570
https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/91208
https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/91208
A $k$-cycle with a pendant edge attached to each vertex is called a $k$-sun. The existence problem for $k$-sun decompositions of $K_v$, with $k$ odd, has been solved only when $k=3$ or $5$. By adapting a method used by Hoffmann, Lindner and Rodger to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::87d1c88aab607ddc2ebb8d50a56907fd
http://hdl.handle.net/11391/1501572
http://hdl.handle.net/11391/1501572
Publikováno v:
Rendiconti di Matematica e delle Sue Applicazioni, Vol 17, Iss 3, Pp 373-385 (1997)
We prove that a hypergraph is a product of a finite number of edges if and only if it is interval-regular, satisfies the gated-edge property and has a vertex of finite degree. As a consequence, we get a characterization of Hamming graphs.
Externí odkaz:
https://doaj.org/article/81caa3e2d3f24e438c8d1e8102f29590
Kirkman triple systems (KTSs) are among the most popular combinatorial designs and their existence has been settled a long time ago. Yet, in comparison with Steiner triple systems, little is known about their automorphism groups. In particular, there
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f99011bb84ae3ebb457192a2753d28ae