(k1, …, kn)-CONVEXITY IN ℝn

On Ramsey (K1, 2, Kn)-minimal graphs

Let F be a graph and let G, H denote nonempty families of graphs. We write F → (G,H) if in any 2-coloring of edges of F with red and blue, there is a red subgraph isomorphic to some graph from G or a blue subgraph isomorphic to some graph from H. The graph F without isolated vertices is said to be a (G,H)-minimal graph if F → (G,H) and F − e 6→ (G,H) for every e ∈ E(F ). We present a technique ...

CONVEXITY NUMBERS OF CLOSED SETS IN Rn

The linear 3-arboricity of Kn, n and Kn

A linear k-forest is a forest whose components are paths of length at most k. The linear k-arboricity of a graph G, denoted by lak(G), is the least number of linear k-forests needed to decompose G. In this paper, we completely determine lak(G) when G is a balanced complete bipartite graph Kn,n or a complete graph Kn, and k = 3. © 2007 Elsevier B.V. All rights reserved.

TN , KN and KN Scattering : Skyrme Model vs . Experiment

_. -LWe present a comprehensive partial-wave analysis of the; processes rrN ---) &,I3 , KN + &B and TN + &., B in the 3-flavor Skyrme model, with c& an arbitrary pseudoscalar-octet meson and B a h’ octet or g’ decuplet baryon. Overall, we find good, poor, and mixed agreement, respectively, between the model and experiment for these three types of processes. We pay particular attention to assess...

Production of the pentaquark exotic baryon Ξ 5 in KN scattering : KN → K Ξ 5 and KN → K ∗ Ξ 5

Abstract We investigate the production of the newly found pentaquark exotic baryon Ξ5 in the KN → KΞ5 and KN → KΞ5 reactions at the tree level. We consider the both positiveand negativeparities of the Ξ5. The reactions are dominated by the sand u-channel processes, and it is observed that the resulting cross sections are very much dependent on the parity of Ξ5 and on the type of form factor. We...