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SIAMDM
1998
165views more  SIAMDM 1998»
13 years 7 months ago
The Number of Independent Sets in a Grid Graph
If f(m, n) is the (vertex) independence number of the m × n grid graph, then we show that the double limit η = def limm,n→∞ f(m, n) 1 mn exists, thereby refining earlier res...
Neil J. Calkin, Herbert S. Wilf
SIAMDM
2010
99views more  SIAMDM 2010»
13 years 5 months ago
Reductions of Young Tableau Bijections
We introduce notions of linear reduction and linear equivalence of bijections for the purposes of study bijections between Young tableaux. Originating in Theoretical Computer Scie...
Igor Pak, Ernesto Vallejo
SIAMDM
2010
128views more  SIAMDM 2010»
13 years 5 months ago
t-Perfection Is Always Strong for Claw-Free Graphs
A connected graph G is called t-perfect if its stable set polytope is determined by the non-negativity, edge and odd-cycle inequalities. Moreover, G is called strongly t-perfect i...
Henning Bruhn, Maya Stein
SIAMDM
2010
138views more  SIAMDM 2010»
13 years 5 months ago
The Last Fraction of a Fractional Conjecture
Reed conjectured that for every ε > 0 and every integer ∆, there exists g such that the fractional total chromatic number of every graph with maximum degree ∆ and girth at...
Frantisek Kardos, Daniel Král', Jean-S&eacu...
SIAMDM
2002
84views more  SIAMDM 2002»
13 years 7 months ago
Multicovering Bounds from Relative Covering Radii
The multicovering radii of a code are recently introduced natural generalizations of the covering radius measuring the smallest radius of balls around codewords that cover all m-t...
Iiro S. Honkala, Andrew Klapper