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» On a Generalization of the Stone-Weierstrass Theorem
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DAM
2010
116views more  DAM 2010»
15 years 2 months ago
Minimum sum edge colorings of multicycles
In the minimum sum edge coloring problem, we aim to assign natural numbers to edges of a graph, so that adjacent edges receive different numbers, and the sum of the numbers assign...
Jean Cardinal, Vlady Ravelomanana, Mario Valencia-...
DM
2008
97views more  DM 2008»
15 years 2 months ago
On extremal k-outconnected graphs
Let G be a minimally k-connected graph with n nodes and m edges. Mader proved that if n 3k - 2 then m k(n - k), and for n 3k - 1 an equality is possible if, and only if, G is t...
Zeev Nutov
ALGORITHMICA
2006
84views more  ALGORITHMICA 2006»
15 years 2 months ago
Large Deviations for the Weighted Height of an Extended Class of Trees
We use large deviations to prove a general theorem on the asymptotic edge-weighted height Hn of a large class of random trees for which Hn c log n for some positive constant c. A...
Nicolas Broutin, Luc Devroye
COMBINATORICS
2006
221views more  COMBINATORICS 2006»
15 years 2 months ago
Kernels of Directed Graph Laplacians
Abstract. Let G denote a directed graph with adjacency matrix Q and indegree matrix D. We consider the Kirchhoff matrix L = D - Q, sometimes referred to as the directed Laplacian. ...
John S. Caughman IV, J. J. P. Veerman
CORR
2006
Springer
90views Education» more  CORR 2006»
15 years 2 months ago
Symmetric Subresultants and Applications
Schur's transforms of a polynomial are used to count its roots in the unit disk. These are generalized them by introducing the sequence of symmetric sub-resultants of two pol...
Cyril Brunie, Philippe Saux Picart