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SIAMDM
2000
77views more  SIAMDM 2000»
15 years 1 days ago
Recognizing Perfect 2-Split Graphs
A graph is a split graph if its vertices can be partitioned into a clique and a stable set. A graph is a k-split graph if its vertices can be partitioned into k sets, each of which...
Chính T. Hoàng, Van Bang Le
109
Voted
SIAMDM
2002
85views more  SIAMDM 2002»
14 years 12 months ago
Finding a 2-Core of a Tree in Linear Time
Let T be an edge-weighted tree. A p-core of T is a set of p mutually disjoint paths in T that minimizes the sum of the distances of all vertices in T from any of the p paths, where...
Biing-Feng Wang
SIAMDM
2010
96views more  SIAMDM 2010»
14 years 10 months ago
Note on Bipartite Graph Tilings
Let s < t be two fixed positive integers. We study what are the minimum degree conditions for a bipartite graph G, with both color classes of size n = k(s + t), which ensure t...
Jan Hladký, Mathias Schacht
94
Voted
SIAMDM
2010
146views more  SIAMDM 2010»
14 years 10 months ago
Bringing Toric Codes to the Next Dimension
This paper is concerned with the minimum distance computation for higher dimensional toric codes defined by lattice polytopes in Rn . We show that the minimum distance is multipli...
Ivan Soprunov, Jenya Soprunova
SIAMDM
2008
95views more  SIAMDM 2008»
15 years 5 days ago
A Note On Reed's Conjecture
In [5], Reed conjectures that every graph satisfies ++1 2 . We prove this holds for graphs with disconnected complement. Combining this fact with a result of Molloy proves the co...
Landon Rabern