Combinatorial analysis of quicksort algorithm
Combinatorial and automated proofs of certain identities.
Combinatorial aspects of code loops
The existence and uniqueness (up to equivalence defined below) of code loops was first established by R. Griess in [3]. Nevertheless, the explicit construction of code loops remained open until T. Hsu introduced the notion of symplectic cubic spaces and their Frattini extensions, and pointed out how the construction of code loops followed from the (purely combinatorial) result of O. Chein and E. Goodaire contained in [2]. Within this paper, we focus on their combinatorial construction and prove...
Combinatorial aspects of multiple zeta values.
Combinatorial bases of modules for affine Lie algebra B 2(1)
We construct bases of standard (i.e. integrable highest weight) modules L(Λ) for affine Lie algebra of type B 2(1) consisting of semi-infinite monomials. The main technical ingredient is a construction of monomial bases for Feigin-Stoyanovsky type subspaces W(Λ) of L(Λ) by using simple currents and intertwining operators in vertex operator algebra theory. By coincidence W(kΛ0) for B 2(1) and the integrable highest weight module L(kΛ0) for A 1(1) have the same parametrization of combinatorial bases...
Combinatorial congruences and Stirling numbers
Combinatorial enumeration of ragas (scales of integer sequences) of Indian music.
Combinatorial formulae for multiple set-valued labellings.
Combinatorial identities by way of Wilf's multigraph model.
Combinatorial identities deriving from the th power of a matrix.
Combinatorial identities from the spectral theory of quantum graphs.
Combinatorial interpretation of generalized Stirling numbers.
Combinatorial interpretations for identities using chromatic partitions
We provide combinatorial interpretations for three new classes of partitions, the so-called chromatic partitions. Using only combinatorial arguments, we show that these partition identities resemble well-know ordinary partition identities.
Combinatorial interpretations for rank-two cluster algebras of affine type.
Combinatorial interpretations of a generalization of the Genocchi numbers.
Combinatorial interpretations of binomial coefficient analogues related to Lucas sequences.
Combinatorial interpretations of the Jacobi-Stirling numbers.
Combinatorial necklace splitting.
Combinatorial polarization, code loops, and codes of high level.
Combinatorial problems related to geometrically distributed random variables.