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CORR
2010
Springer
95views Education» more  CORR 2010»
14 years 11 months ago
Nowhere dense graph classes, stability, and the independence property
A class of graphs is nowhere dense if for every integer r there is a finite upper bound on the size of cliques that occur as (topological) r-minors. We observe that this tameness ...
Hans Adler, Isolde Adler
JGT
2007
53views more  JGT 2007»
14 years 11 months ago
A planar hypohamiltonian graph with 48 vertices
: We present a planar hypohamiltonian graph on 48 vertices, and derive some consequences. © 2007 Wiley Periodicals, Inc. J Graph Theory 55: 338–342, 2007
Carol T. Zamfirescu, Tudor Zamfirescu
82
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ESA
2010
Springer
136views Algorithms» more  ESA 2010»
15 years 23 days ago
Fast Minor Testing in Planar Graphs
Minor containment is a fundamental problem in Algorithmic Graph Theory, as numerous graph algorithms use it as a subroutine. A model of a graph H in a graph G is a set of disjoint ...
Isolde Adler, Frederic Dorn, Fedor V. Fomin, Ignas...
CORR
2008
Springer
129views Education» more  CORR 2008»
14 years 11 months ago
Bounds on Codes Based on Graph Theory
"THIS PAPER IS ELIGIBLE FOR THE STUDENT PAPER AWARD" Let Aq(n, d) be the maximum order (maximum number of codewords) of a q-ary code of length n and Hamming distance at l...
Salim Y. El Rouayheb, Costas N. Georghiades, Emina...
TACAS
2009
Springer
99views Algorithms» more  TACAS 2009»
15 years 6 months ago
Ground Interpolation for the Theory of Equality
Abstract. Given a theory T and two formulas A and B jointly unsatisfiable in T , a theory interpolant of A and B is a formula I such that (i) its non-theory symbols are shared by ...
Alexander Fuchs, Amit Goel, Jim Grundy, Sava Krsti...