Recent studies of holographic tensor network models defined on regular tessellations of
hyperbolic space have not yet addressed the underlying discrete geometry of the boundary …

We define a so-called square $ k $-zig-zag shape as a part of the regular square grid.
Considering the shape as a $ k $-zig-zag digraph, we give values of its vertices according to …

We give a method to determine an explicit solution to a system of two inhomogeneous linear
recursive sequences of higher order. Our approach can be used efficiently in solving certain …

Solution of various combinatorial problems often requires vector recurrences of higher order
(ie, the order is larger than 1). Assume that there are given matrices A (1), A (2),..., A (s), all …

Considering a so-called square k-zig-zag shape as a part of the regular square grid as a k-
zig-zag digraph, we give values to its vertices according to the number of the shortest paths …

In this article we introduce a new geometric object called hyperbolic Pascal simplex. This
newobject is presented by the regular hypercube mosaic in the 4-dimensional hyperbolic …

Cospectral generalized Johnson and Grassmann graphs Page 273 Discrete Math Days,
Santander, July 4–6, 2022 263 Cospectral generalized Johnson and Grassmann graphs Aida …

In geometry, there are many exercises where we have to solve discrete geometric,
combinatorial, or number theory problems. The result is sequence, or, in special case …

Pascal's triangle is a triangular arrangement of the binomial coefficients, which is well-
known and used in several fields of mathematics. In our review we introduce its special …

Pascal's triangle is a triangular arrangement of binomial coefficient, which is well known and
used in several fields of mathematics. The family of hyperbolic Pascal triangles is a recently …