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» Graphs Without Large Complete Minors Are Quasi-Random
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72
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CPC
2002
73views more  CPC 2002»
14 years 9 months ago
Graphs Without Large Complete Minors Are Quasi-Random
Joseph Samuel Myers
CPC
2004
92views more  CPC 2004»
14 years 9 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
201
Voted
COMPGEOM
2011
ACM
14 years 29 days 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
SODA
2012
ACM
243views Algorithms» more  SODA 2012»
12 years 11 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
EJC
2008
14 years 9 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