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pro vyhledávání: '"Arrigo Bonisoli"'
Publikováno v:
Ars mathematica contemporanea
Given a proper edge-coloring of a loopless multigraph, the palette of a vertex is defined as the set of colors of the edges which are incident with it. The palette index of a multigraph is defined as the minimum number of distinct palettes occurring
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fd184c53fb9ef053d08de6a7b24e5931
http://www.dlib.si/details/URN:NBN:SI:doc-G0R0BGHC
http://www.dlib.si/details/URN:NBN:SI:doc-G0R0BGHC
Autor:
Arrigo Bonisoli, Simona Bonvicini
Publikováno v:
Discrete Mathematics. 332:60-68
In this paper we consider decompositions of the complete graph K"v into matchings of uniform cardinality k. They can only exist when k is an admissible value, that is a divisor of v(v-1)/2 with 1@?k@?v/2. The decompositions are required to admit an a
Autor:
Beatrice Ruini, Arrigo Bonisoli
Publikováno v:
Discrete Mathematics. 313:1197-1205
For a given graph G we say that a G -design is balanced if there exists a constant r such that for each point x the number of blocks containing x is equal to r . A G -design is degree-balanced if, for each degree d occurring in the graph G , there ex
Autor:
Simona Bonvicini, Arrigo Bonisoli
Publikováno v:
Discrete Mathematics. 308:726-733
We construct an infinite family of one-factorizations of Kv admitting an automorphism group acting primitively on the set of vertices but no such group acting doubly transitively. We also give examples of one-factorizations which are live, in the sen
Publikováno v:
Journal of Combinatorial Theory, Series A. 114(8):1470-1480
Let G be a collineation group of a finite projective plane @p of odd order fixing an oval @W. We investigate the case in which G has even order, has two orbits @W"0 and @W"1 on @W, and the action of G on @W"0 is primitive. We show that if G is irredu
Autor:
Gloria Rinaldi, Arrigo Bonisoli
Publikováno v:
Graphs and Combinatorics. 21:187-195
Let m be an integer, m ? 2 and set n = 2 m . Let G be a non-cyclic group of order 2n admitting a cyclic subgroup of order n. We prove that G always admits a starter and so there exists a one---factorization [InlineMediaObject not available: see fullt
Publikováno v:
Discrete Mathematics. 255:7-12
We prove that the Segre variety I1,3 of PG(7,q>) can be partitioned into caps of size (q4- 1)/(q- 1). It can also be partitioned into three-dimensional elliptic quadrics or into twisted cubics.
Autor:
Arrigo Bonisoli, Gábor Korchmáros
Publikováno v:
Journal of Algebra. 252(2):431-448
Let G be an irreducible collineation group of a finite projective plane π of even order n≡0mod4. Our goal is to determine the structure of G under the hypothesis that G fixes a hyperoval Ω of π. We assume |G|≡0mod4. If G has no involutory elat
Autor:
Pasquale Quattrocchi, Arrigo Bonisoli
Publikováno v:
Journal of Algebraic Combinatorics. 12:241-250
All known finite sharply 4-transitive permutation sets containing the identity are groups, namely i>S4, i>S5, i>A6 and the Mathieu group of degree 11. We prove that a sharply 4-transitive permutation set on 11 elements containing the identity must ne
Autor:
Antonio Cossidente, Arrigo Bonisoli
Publikováno v:
Designs, Codes and Cryptography. 20:143-154
Starting from a linear collineation of \PG(2n-1,q) suitably constructed from a Singer cycle of \GL(n,q), we prove the existence of a partition of \PG(2n-1,q) consisting of two (n-1)-subspaces and caps, all having size (q^n-1)/(q-1) or (q^n-1)/(q+1) a