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» Graphs Without Large Complete Minors Are Quasi-Random
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101
Voted
CPC
2002
73views more  CPC 2002»
15 years 1 months ago
Graphs Without Large Complete Minors Are Quasi-Random
Joseph Samuel Myers
110
Voted
CPC
2004
92views more  CPC 2004»
15 years 1 months ago
Large Topological Cliques in Graphs Without a 4-Cycle
Mader asked whether every C4-free graph G contains a subdivision of a complete graph whose order is at least linear in the average degree of G. We show that there is a subdivision...
Daniela Kühn, Deryk Osthus
255
Voted
COMPGEOM
2011
ACM
14 years 5 months ago
Minors in random and expanding hypergraphs
We introduce a new notion of minors for simplicial complexes (hypergraphs), so-called homological minors. Our motivation is to propose a general approach to attack certain extrema...
Uli Wagner
156
Voted
SODA
2012
ACM
243views Algorithms» more  SODA 2012»
13 years 4 months ago
Bidimensionality and geometric graphs
Bidimensionality theory was introduced by Demaine et al. [JACM 2005 ] as a framework to obtain algorithmic results for hard problems on minor closed graph classes. The theory has ...
Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh
116
Voted
EJC
2008
15 years 1 months ago
Fractional coloring and the odd Hadwiger's conjecture
Gerards and Seymour (see [T.R. Jensen, B. Toft, Graph Coloring Problems, Wiley-Interscience, 1995], page 115) conjectured that if a graph has no odd complete minor of order p, the...
Ken-ichi Kawarabayashi, Bruce A. Reed