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LION
2009
Springer
125views Optimization» more  LION 2009»
15 years 6 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
WG
2005
Springer
15 years 5 months ago
Hypertree Decompositions: Structure, Algorithms, and Applications
We review the concepts of hypertree decomposition and hypertree width from a graph theoretical perspective and report on a number of recent results related to these concepts. We al...
Georg Gottlob, Martin Grohe, Nysret Musliu, Marko ...
FOCS
2006
IEEE
15 years 5 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
ICML
2006
IEEE
16 years 14 days ago
Higher order learning with graphs
Recently there has been considerable interest in learning with higher order relations (i.e., three-way or higher) in the unsupervised and semi-supervised settings. Hypergraphs and...
Sameer Agarwal, Kristin Branson, Serge Belongie
FCT
2005
Springer
15 years 5 months ago
On Finding Acyclic Subhypergraphs
: In this paper, we investigate the problem to find an acyclic subhypergraph in a given hypergraph, which is an extension to find a tree in a graph. First, we introduce a spannin...
Kouichi Hirata, Megumi Kuwabara, Masateru Harao