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COMBINATORICS
2006
132views more  COMBINATORICS 2006»
14 years 11 months ago
On Computing the Distinguishing Numbers of Trees and Forests
Let G be a graph. A vertex labeling of G is distinguishing if the only label-preserving automorphism of G is the identity map. The distinguishing number of G, D(G), is the minimum...
Christine T. Cheng
COMBINATORICS
2006
137views more  COMBINATORICS 2006»
14 years 11 months ago
Three-Letter-Pattern-Avoiding Permutations and Functional Equations
We present an algorithm for finding a system of recurrence relations for the number of permutations of length n that satisfy a certain set of conditions. A rewriting of these rela...
Ghassan Firro, Toufik Mansour
COCOON
1999
Springer
15 years 4 months ago
Using Generalized Forecasts for Online Currency Conversion
El-Yaniv et al. presented an optimal on-line algorithm for the unidirectional currency conversion problem based on the threat-based strategy. Later, al-Binali pointed out that this...
Kazuo Iwama, Kouki Yonezawa
COCOON
1999
Springer
15 years 4 months ago
A New Approach for Speeding Up Enumeration Algorithms and Its Application for Matroid Bases
Abstract: We propose a new approach for speeding up enumeration algorithms. The approach does not rely on data structures deeply, instead utilizes analysis of computation time. It ...
Takeaki Uno
COCOON
2007
Springer
15 years 3 months ago
Improved Exact Algorithms for Counting 3- and 4-Colorings
Abstract. We introduce a generic algorithmic technique and apply it on decision and counting versions of graph coloring. Our approach is based on the following idea: either a graph...
Fedor V. Fomin, Serge Gaspers, Saket Saurabh