Introduction to the “prisoners and guards” game.
Invariant and coinvariant spaces for the algebra of symmetric polynomials in non-commuting variables.
Invariants of several matrices.
Invers SEMIGROUPS ON GRAPHS.
Inverse eigenvalue problem for constructing a kind of acyclic matrices with two eigenpairs
We investigate an inverse eigenvalue problem for constructing a special kind of acyclic matrices. The problem involves the reconstruction of the matrices whose graph is an -centipede. This is done by using the st and th eigenpairs of their leading principal submatrices. To solve this problem, the recurrence relations between leading principal submatrices are used.
Inverse series relations, formal power series and Blodgett-Gessel's type binomial identities.
Inverse series relations, formal power series and Blodgett-Gessel's type binomial identities.
A pair of simple bivariate inverse series relations are used by embedding machinery to produce several double summation formulae on shifted factorials (or binomial coefficients), including the evaluation due to Blodgett-Gessel. Their q-analogues are established in the second section. Some generalized convolutions are presented through formal power series manipulation.
Inverse zero-sum problems and algebraic invariants
Inverse zero-sum problems in finite Abelian p-groups
We study the minimal number of elements of maximal order occurring in a zero-sumfree sequence over a finite Abelian p-group. For this purpose, and in the general context of finite Abelian groups, we introduce a new number, for which lower and upper bounds are proved in the case of finite Abelian p-groups. Among other consequences, our method implies that, if we denote by exp(G) the exponent of the finite Abelian p-group G considered, every zero-sumfree sequence S with maximal possible length over...
Inverses of words.
Inversion of generating functions using determinants.
Inversion of incidence mappings.
Inversion of integral series enumerating planar trees.
Inversion statistics of MacMohan and of Goulden and Jackson. (Über die Inversionsstatistiken von MacMahon und Goulden-Jackson.)
Inversion techniques and combinatorial identities. A unified treatment for the 7f6-series identities.
Inversion techniques and combinatorial identities. Jackson’s -analogue of the Dougall-Dixon theorem and the dual formulae
Inversion techniques and combinatorial identities. Strange evaluations of basic hypergeometric series
Inversions in Locally Affine Circular Spaces.
Inversions of permutations in symmetric, alternating, and dihedral groups.
Inversions within restricted fillings of Young tableaux.