3 papers
math.CO2026
Unimodular matrices and lattice paths enumeration via Pascal's triangle
Sudip Bera
This article investigates a remarkable combinatorial identity involving a distinguished family of matrices whose entries are defined via binomial coefficients. Specifically, we con…
math.CO2025
A combinatorial proof of the trace Cayley-Hamilton theorem
Sudip Bera
The deep interconnection between linear algebra and graph theory allows one to interpret classical matrix invariants through combinatorial structures. To each square matrix A over…
math.CO2025
A graph theoretic proof of Cramer's rule
Sudip Bera
This note contains a new combinatorial proof of Cramer's rule based on the Gessel-Viennot-Lindstrom Lemma.