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» The Generalization of Dirac's Theorem for Hypergraphs
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FOCS
2006
IEEE
13 years 11 months ago
Approximate Min-Max Theorems of Steiner Rooted-Orientations of Hypergraphs
Given an undirected hypergraph and a subset of vertices S ⊆ V with a specified root vertex r ∈ S, the STEINER ROOTED-ORIENTATION problem is to find an orientation of all the...
Tamás Király, Lap Chi Lau
DM
2008
114views more  DM 2008»
13 years 5 months ago
Subdivisions of graphs: A generalization of paths and cycles
One of the basic results in graph theory is Dirac's theorem, that every graph of order n 3 and minimum degree n/2 is Hamiltonian. This may be restated as: if a graph of ord...
Ch. Sobhan Babu, Ajit A. Diwan
EJC
2008
13 years 5 months ago
Graph parameters and semigroup functions
Abstract. We prove a general theorem on semigroup functions that implies characterizations of graph partition functions in terms of the positive semidefiniteness (`reflection posit...
László Lovász, Alexander Schr...
LION
2009
Springer
125views Optimization» more  LION 2009»
13 years 11 months ago
New Bounds on the Clique Number of Graphs Based on Spectral Hypergraph Theory
This work introduces new bounds on the clique number of graphs derived from a result due to S´os and Straus, which generalizes the Motzkin-Straus Theorem to a specific class of h...
Samuel Rota Bulò, Marcello Pelillo
ECCC
2006
134views more  ECCC 2006»
13 years 5 months ago
Derandomizing the AW matrix-valued Chernoff bound using pessimistic estimators and applications
Ahlswede and Winter [AW02] introduced a Chernoff bound for matrix-valued random variables, which is a non-trivial generalization of the usual Chernoff bound for real-valued random...
Avi Wigderson, David Xiao