Results 51 to 60 of about 89 (79)
Invariant cubature formulae for spheres and balls by combinatorial methods
, 2008 . Invariant cubature formulae for a class of weight functions on the simplex T d are derived using combinatorial methods, extending the formulae in [Grundmann and Möller, SIAM J. Numer Anal., 15 (1978), pp.
Sangwoo Heo, Yuan Xu
core
Generalizations of two identities of Guo and Yang
, 2018 In this paper, we provide generalizations of two identities of Guo and Yang [2] for the q-binomial coefficients. This approach allows us to derive new convolution identities for the complete and elementary symmetric functions.
Merca, Mircea
core
Skeletal generalizations of chip-firing games, parking functions, and Dyck paths
For \(0\leq k\leq n-1\), we introduce a family of \(k\)-skeletal paths which are counted by the \(n\)th Catalan number for each \(k\), and specialize to Dyck paths when \(k=n-1\).
Backman, Spencer +5 more
core +1 more source
Математическо моделиране при дизайна на тъкачни структури
, 2010 Красимир Йорджев, Христина Костадинова - В работата се разглежда една релация на еквивалентност в множеството от всички квадратни бинарни матрици. Обсъдена е комбинаторната задача за намиране мощността и елементите на фактормножеството относно тази ...
Kostadinova, Hristina +1 more
core
On cycles in monotone grid classes of permutations
We undertake a detailed investigation into the structure of permutations in monotone grid classes whose row-column graphs do not contain components with more than one cycle.
David Bevan +2 more
core +1 more source
Short and Easy Computer Proofs of the Rogers-Ramanujan Identities and of Identities of Similar Type
, 1994 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
, 1996 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
Capacities: From Information Theory to Extremal Set Theory
Generalizing the concept of zero--error capacity beyond its traditional links to any sort of information transmission we give an asymptotic solution to several hard problems in extremal set theory within a unified, formally information--theoretic ...
J. Körner, L. Gargano, U. Vaccaro
core
Magic N-Cubes Form a Free Monoid
In this paper we prove a conjecture stated in an earlier paper [A-L]. The conjecture states that with respect to a rather natural operation, the set of N-dimensional magic cubes forms a free monoid for every integer N ? 1.
Allan Adler
core
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