Zobrazeno 1 - 10
of 261
pro vyhledávání: '"Marco, Buratti"'
Autor:
Krop, Elliot, Luongo, Brandi
Marco Buratti's conjecture states that if $p$ is a prime and $L$ a multiset containing $p-1$ non-zero elements from the integers modulo $p$, then there exists a Hamiltonian path in the complete graph of order $p$ with edge lengths in $L$. Say that a
Externí odkaz:
http://arxiv.org/abs/1106.0624
Akademický článek
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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
Autor:
Alexander Rosa, Peter Horak
Publikováno v:
The Electronic Journal of Combinatorics. 16
We consider a problem formulated by Marco Buratti concerning Hamiltonian paths in the complete graph on $Z_p$, $p$ an odd prime.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d66cca8868dda8df36a3800bfa421793
https://doi.org/10.37236/109
https://doi.org/10.37236/109
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