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COMBINATORICS
2007
92views more  COMBINATORICS 2007»
13 years 7 months ago
Compact Hyperbolic Coxeter n-Polytopes with n+3 Facets
We use methods of combinatorics of polytopes together with geometrical and computational ones to obtain the complete list of compact hyperbolic Coxeter npolytopes with n + 3 facet...
Pavel Tumarkin
COMBINATORICS
1999
76views more  COMBINATORICS 1999»
13 years 7 months ago
Rhombus Tilings of a Hexagon with Two Triangles Missing on the Symmetry Axis
We compute the number of rhombus tilings of a hexagon with sides n, n, N, n, n, N, where two triangles on the symmetry axis touching in one vertex are removed. The case of the comm...
Theresia Eisenkölbl
CPM
2010
Springer
145views Combinatorics» more  CPM 2010»
13 years 2 months ago
Succinct Representations of Separable Graphs
Abstract. We consider the problem of highly space-efficient representation of separable graphs while supporting queries in constant time in the RAM with logarithmic word size. In p...
Guy E. Blelloch, Arash Farzan
COMBINATORICS
2002
105views more  COMBINATORICS 2002»
13 years 7 months ago
Counting 1324-Avoiding Permutations
We consider permutations that avoid the pattern 1324. By studying the generating tree for such permutations, we obtain a recurrence formula for their number. A computer program pr...
Darko Marinov, Rados Radoicic
COMBINATORICS
1998
102views more  COMBINATORICS 1998»
13 years 7 months ago
Inclusion-Exclusion and Network Reliability
Based on a recent improvement of the inclusion-exclusion principle, we present a new approach to network reliability problems. In particular, we give a new proof of a result of Sh...
Klaus Dohmen