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» Problems and results in extremal combinatorics - II
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COMBINATORICS
2006
124views more  COMBINATORICS 2006»
13 years 8 months ago
Bounded-Degree Graphs have Arbitrarily Large Geometric Thickness
Abstract. The geometric thickness of a graph G is the minimum integer k such that there is a straight line drawing of G with its edge set partitioned into k plane subgraphs. Eppste...
János Barát, Jirí Matousek, D...
COMBINATORICS
2006
118views more  COMBINATORICS 2006»
13 years 8 months ago
Noncrossing Trees and Noncrossing Graphs
We give a parity reversing involution on noncrossing trees that leads to a combinatorial interpretation of a formula on noncrossing trees and symmetric ternary trees in answer to a...
William Y. C. Chen, Sherry H. F. Yan
FEDCSIS
2011
87views more  FEDCSIS 2011»
12 years 7 months ago
Enhanced CakES representing Safety Analysis results of Embedded Systems
—Nowadays, embedded systems are widely used. It is extremely difficult to analyze safety issues in embedded systems, to relate the safety analysis results to the actual parts, a...
Yasmin I. Al-Zokari, Daniel Schneider, Dirk Zeckze...
COMBINATORICS
2002
104views more  COMBINATORICS 2002»
13 years 7 months ago
Exchange Symmetries in Motzkin Path and Bargraph Models of Copolymer Adsorption
In a previous work [26], by considering paths that are partially weighted, the generating function of Dyck paths was shown to possess a type of symmetry, called an exchange relati...
E. J. Janse van Rensburg, A. Rechnitzer
COCOON
2009
Springer
14 years 2 months ago
Sublinear-Time Algorithms for Tournament Graphs
We show that a random walk on a tournament on n vertices finds either a sink or a 3-cycle in expected time O √ n · log n · log∗ n , that is, sublinear both in the size of th...
Stefan S. Dantchev, Tom Friedetzky, Lars Nagel