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» A Combinatorial Theorem for Trees
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JCT
2008
103views more  JCT 2008»
14 years 11 months ago
A bijective proof of Jackson's formula for the number of factorizations of a cycle
Factorizations of the cyclic permutation (1 2 . . . N) into two permutations with respectively n and m cycles, or, equivalently, unicellular bicolored maps with N edges and n whit...
Gilles Schaeffer, Ekaterina A. Vassilieva
ICQNM
2007
IEEE
131views Chemistry» more  ICQNM 2007»
15 years 6 months ago
Comparison of two bounds of the quantum correlation set
— From a geometric viewpoint, quantum nonlocality between two parties is represented as the difference of two convex bodies, namely the sets of possible results of classical and ...
David Avis, Tsuyoshi Ito
DAM
2008
83views more  DAM 2008»
14 years 12 months ago
Spanning forests and the golden ratio
For a graph G, let fij be the number of spanning rooted forests in which vertex j belongs to a tree rooted at i. In this paper, we show that for a path, the fij's can be expr...
Pavel Chebotarev
ISAAC
2009
Springer
147views Algorithms» more  ISAAC 2009»
15 years 6 months ago
Computing a Smallest Multi-labeled Phylogenetic Tree from Rooted Triplets
Abstract. We investigate the computational complexity of a new combinatorial problem of inferring a smallest possible multi-labeled phylogenetic tree (MUL tree) which is consistent...
Sylvain Guillemot, Jesper Jansson, Wing-Kin Sung
CSL
2007
Springer
15 years 6 months ago
Game Characterizations and the PSPACE-Completeness of Tree Resolution Space
The Prover/Delayer game is a combinatorial game that can be used to prove upper and lower bounds on the size of Tree Resolution proofs, and also perfectly characterizes the space ...
Alexander Hertel, Alasdair Urquhart