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JCT
2010
111views more  JCT 2010»
13 years 7 months ago
Anti-Ramsey properties of random graphs
We call a coloring of the edge set of a graph G a b-bounded coloring if no color is used more than b times. We say that a subset of the edges of G is rainbow if each edge is of a ...
Tom Bohman, Alan M. Frieze, Oleg Pikhurko, Cliffor...
JCT
2010
81views more  JCT 2010»
13 years 7 months ago
On the probability of a rational outcome for generalized social welfare functions on three alternatives
In [11], Kalai investigated the probability of a rational outcome for a generalized social welfare function (GSWF) on three alternatives, when the individual preferences are unifo...
Nathan Keller
JCT
2010
135views more  JCT 2010»
13 years 7 months ago
Countable connected-homogeneous graphs
Abstract. A graph is connected-homogeneous if any isomorphism between finite connected induced subgraphs extends to an automorphism of the graph. In this paper we classify the cou...
Robert Gray, D. Macpherson
JCT
2010
158views more  JCT 2010»
13 years 7 months ago
An asymptotic solution to the cycle decomposition problem for complete graphs
Let m1, m2, . . . , mt be a list of integers. It is shown that there exists an integer N such that for all n ≥ N, the complete graph of order n can be decomposed into edge-disjo...
Darryn E. Bryant, Daniel Horsley
JCT
2010
77views more  JCT 2010»
13 years 7 months ago
Obtainable sizes of topologies on finite sets
We study the smallest possible number of points in a topological space having k open sets. Equivalently, this is the smallest possible number of elements in a poset having k order ...
Kári Ragnarsson, Bridget Eileen Tenner