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» On the combinatorics of Galois numbers
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COMBINATORICS
2007
83views more  COMBINATORICS 2007»
14 years 11 months ago
Explicit Enumeration of Triangulations with Multiple Boundaries
We enumerate rooted triangulations of a sphere with multiple holes by the total number of edges and the length of each boundary component. The proof relies on a combinatorial iden...
Maxim Krikun
COMBINATORICS
2004
112views more  COMBINATORICS 2004»
14 years 11 months ago
Airy Phenomena and Analytic Combinatorics of Connected Graphs
Until now, the enumeration of connected graphs has been dealt with by probabilistic methods, by special combinatorial decompositions or by somewhat indirect formal series manipula...
Philippe Flajolet, Bruno Salvy, Gilles Schaeffer
AOSD
2011
ACM
14 years 6 months ago
Reducing combinatorics in testing product lines
A Software Product Line (SPL) is a family of programs where each program is defined by a unique combination of features. Testing or checking properties of an SPL is hard as it ma...
Chang Hwan Peter Kim, Don S. Batory, Sarfraz Khurs...
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
78
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COMBINATORICS
2006
107views more  COMBINATORICS 2006»
14 years 11 months ago
A Note on the Number of Hamiltonian Paths in Strong Tournaments
We prove that the minimum number of distinct hamiltonian paths in a strong tournament of order n is 5 n-1 3 . A known construction shows this number is best possible when n 1 mod...
Arthur H. Busch