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COMBINATORICA
2004
119views more  COMBINATORICA 2004»
13 years 7 months ago
On Infinite Cycles II
We extend the basic theory concerning the cycle space of a finite graph to arbitrary infinite graphs, using as infinite cycles the homeomorphic images of the unit circle in the gr...
Reinhard Diestel, Daniela Kühn
COMBINATORICA
2004
51views more  COMBINATORICA 2004»
13 years 7 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
COMBINATORICA
2004
79views more  COMBINATORICA 2004»
13 years 7 months ago
The Deletion Method For Upper Tail Estimates
We present a new method to show concentration of the upper tail of random variables that can be written as sums of variables with plenty of independence. We compare our method with...
Svante Janson, Andrzej Rucinski
COMBINATORICA
2004
48views more  COMBINATORICA 2004»
13 years 7 months ago
Linear Discrepancy of Totally Unimodular Matrices
Let p [1, [ and cp = maxa[0,1]((1 - a)ap + a(1 - a)p)1/p. We prove that the known upper bound lindiscp(A) cp for the Lp linear discrepancy of a totally unimodular matrix A is as...
Benjamin Doerr
COMBINATORICA
2004
69views more  COMBINATORICA 2004»
13 years 7 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...