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JCT
2008
57views more  JCT 2008»
14 years 12 months ago
Invariant boundary distributions for finite graphs
Let be the fundamental group of a finite connected graph G. Let M be an abelian group. A distribution on the boundary of the universal covering tree is an M-valued measure defin...
Guyan Robertson
JCT
2008
59views more  JCT 2008»
14 years 12 months ago
Partition identities and the coin exchange problem
The number of partitions of n into parts divisible by a or b equals the number of partitions of n in which each part and each difference of two parts is expressible as a non-negati...
Alexander E. Holroyd
JCT
2008
120views more  JCT 2008»
14 years 12 months ago
Approximate min-max theorems for Steiner rooted-orientations of graphs and hypergraphs
Given an undirected hypergraph and a subset of vertices S V with a specified root vertex r S, the STEINER ROOTED-ORIENTATION problem is to find an orientation of all the hypered...
Tamás Király, Lap Chi Lau
JCT
2008
68views more  JCT 2008»
14 years 12 months ago
An Ore-type theorem on equitable coloring
A proper vertex coloring of a graph is equitable if the sizes of its color classes differ by at most one. In this note, we prove that if G is a graph such that for each edge xy E...
Hal A. Kierstead, Alexandr V. Kostochka
JCT
2008
48views more  JCT 2008»
14 years 12 months ago
On small blocking sets and their linearity
: We prove that a small blocking set of PG(2, q) is "very close" to be a linear blocking set over some subfield GF(pe) < GF(q). This implies that (i) a similar result ...
Péter Sziklai