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COMBINATORICA
2004
51views more  COMBINATORICA 2004»
14 years 9 months ago
Nowhere-Zero 4-Flows, Simultaneous Edge-Colorings, And Critical Partial Latin Squares
It is proved in this paper that every bipartite graphic sequence with the minimum degree 2 has a realization that admits a nowhere-zero 4-flow. This result implies a conjecture ...
Rong Luo, Wenan Zang, Cun-Quan Zhang
46
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DM
2006
70views more  DM 2006»
14 years 9 months ago
The carvingwidth of hypercubes
The notion of the carvingwidth of a graph was introduced by Seymour and Thomas [Call routing and the ratcatcher, Combinatorica
L. Sunil Chandran, Telikepalli Kavitha
COMBINATORICA
2008
97views more  COMBINATORICA 2008»
14 years 9 months ago
Pfaffian labelings and signs of edge colorings
Abstract. We relate signs of edge-colorings (as in classical Penrose's result) with "Pfaffian labelings", a generalization of Pfaffian orientations, whereby edges ar...
Serguei Norine, Robin Thomas
COMBINATORICA
2008
129views more  COMBINATORICA 2008»
14 years 9 months ago
The combinatorial encoding of disjoint convex sets in the plane
We introduce a new combinatorial object, the double-permutation sequence, and use it to encode a family of mutually disjoint compact convex sets in the plane in a way that capture...
Jacob E. Goodman, Richard Pollack
67
Voted
COMBINATORICA
2004
69views more  COMBINATORICA 2004»
14 years 9 months ago
Structural Results For Planar Sets With Many Similar Subsets
Consider a k-element subset P of the plane. It is known that the maximum number of sets similar to P that can be found among n points in the plane is (n2 ) if and only if the cros...
Bernardo M. Ábrego, György Elekes, Sil...