DM
2008
13 years 4 months ago
2008
In this paper we are concerned with the following question: for a semigroup S, what is the largest size of a subsemigroup T S where T has a given property? The semigroups S that w...
DM
2008
13 years 4 months ago
2008
In this paper, we introduce the concept of a wide tensor category which is a special class of a tensor category initiated by the inverse braid monoids recently investigated by Eas...
DM
2008
13 years 4 months ago
2008
Let be a partition. BG-rank() is defined as an alternating sum of parities of parts of [1]. In [2], Berkovich and Garvan found theta series representations for the t-core generat...
DM
2008
13 years 4 months ago
2008
In edge colouring it is often useful to have information about the degree distribution of the neighbours of a given vertex. For example, the well known Vizing's Adjacency Lem...
DM
2008
13 years 4 months ago
2008
DM
2008
13 years 4 months ago
2008
We show that the conjectures by Matthews and Sumner (every 4-connected claw-free graph is hamiltonian), by Thomassen (every 4-connected line graph is hamiltonian) and by Fleischne...
DM
2008
13 years 4 months ago
2008
DM
2008
13 years 4 months ago
2008
We give some new Wilf equivalences for signed patterns which allow the complete classification of signed patterns of lengths three and four. The problem is considered for pattern a...
DM
2008
13 years 4 months ago
2008
The poset retraction problem for a poset P is whether a given poset Q containing P as a subposet admits a retraction onto P, that is, whether there is a homomorphism from Q onto P...
DM
2008
13 years 4 months ago
2008