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44
Voted
DM
2008
70views more  DM 2008»
15 years 23 days ago
Embedding balanced P3-designs into (balanced) P4-designs
Mario Gionfriddo, Gaetano Quattrocchi
69
Voted
DM
2008
65views more  DM 2008»
15 years 23 days ago
On the L(p, 1)-labelling of graphs
D. Gonçalves
89
Voted
DM
2008
86views more  DM 2008»
15 years 23 days ago
"Catalan traffic" and integrals on the Grassmannian of lines
One proves that certain numbers occurring in a problem of paths enumeration, studied by Niederhausen in [7] (see also [10]), are top intersection numbers in the cohomology ring of...
Taíse Santiago Costa Oliveira
90
Voted
DM
2008
97views more  DM 2008»
15 years 23 days ago
On uniquely k-determined permutations
Motivated by a new point of view to study occurrences of consecutive patterns in permutations, we introduce the notion of uniquely k-determined permutations. We give two criteria f...
Sergey V. Avgustinovich, Sergey Kitaev
67
Voted
DM
2008
69views more  DM 2008»
15 years 23 days ago
Connectedness of the graph of vertex-colourings
For a positive integer k and a graph G, the k-colour graph of G, Ck(G), is the graph that has the proper k-vertex-colourings of G as its vertex set, and two k-colourings are joine...
Luis Cereceda, Jan van den Heuvel, Matthew Johnson
86
Voted
DM
2008
113views more  DM 2008»
15 years 23 days ago
On some colouring of 4-cycle systems with specified block colour patterns
The present paper continues the study (begun by Quattrocchi, Colouring 4-cycle systems with specified block colour pattern: the case of embedding P3-designs, Electron. J. Combin.,...
Terry S. Griggs, Giovanni Lo Faro, Gaetano Quattro...
61
Voted
DM
2008
62views more  DM 2008»
15 years 23 days ago
Classification of some strongly regular subgraphs of the McLaughlin graph
By means of an exhaustive computer search we have proved that the strongly regular graphs with parameters (v, k, ,
Jan Degraer, Kris Coolsaet
97
Voted
DM
2008
119views more  DM 2008»
15 years 23 days ago
A generalised upper bound for the k-tuple domination number
In this paper, we provide an upper bound for the k-tuple domination number that generalises known upper bounds for the double and triple domination numbers. We prove that for any ...
Andrei Gagarin, Vadim E. Zverovich
DM
2008
100views more  DM 2008»
15 years 23 days ago
Cyclic sequences of k-subsets with distinct consecutive unions
In this paper, we investigate cyclic sequences which contain as elements all k-subsets of {0, 1, . . . , n-1} exactly once such that the unions of any two consecutive k-subsets of...
Meinard Müller, Masakazu Jimbo