Enumeration of coalescent histories for caterpillar species trees and p-pseudocaterpillar gene trees. [PDF]
Alimpiev E, Rosenberg NA.
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A combinatorial identity for rooted labeled forests. [PDF]
Hackl B.
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Short and Easy Computer Proofs of the Rogers-Ramanujan Identities and of Identities of Similar Type
New short and easy computer proofs of finite versions of the Rogers-Ramanujan identities and of similar type are given. These include a very short proof of the first Rogers-Ramanujan identity that was missed by computers, and a new proof of the well ...
Peter Paule
core
A Note on Major Sequences and External Activity in Trees
A bijection is given from major sequences of length n (a variant of parking functions) to trees on f0; : : : ; ng that maps a sequence with sum \Gamma n+1 2 \Delta + k to a tree with external activity k. Key Words: Major sequence, external activity,
Janet S. Beissinger, Uri N. Peled
core
Combinatorial bases of modules for affine Lie algebra B 2(1)
Primc Mirko
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Some new transformations for Bailey pairs and WP-Bailey pairs
Mc Laughlin James
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Two explicit formulas for the generalized Motzkin numbers. [PDF]
Zhao JL, Qi F.
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Roadblocked monotonic paths and the enumeration of coalescent histories for non-matching caterpillar gene trees and species trees. [PDF]
Himwich ZM, Rosenberg NA.
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A note on the determinant of a Toeplitz-Hessenberg matrix
Merca Mircea
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Identities and recurrence relations of special numbers and polynomials of higher order by analysis of their generating functions. [PDF]
Simsek Y, Kim D.
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