Commutative algebra and graph theory are two vibrant areas of mathematics that have grown increasingly interrelated. At this interface, algebraic methods are applied to study combinatorial structures, ...

Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an, Shaanxi 710072, P. R. China Xi’an-Budapest Joint Research Center for Combinatorics, Northwestern Polytechnical ...

Abstract: In this paper we introduce and study the algebraic generalization of non commutative convolutional neural networks. We leverage the theory of algebraic signal processing to model ...

Academics in this theme study aspects of groups and semigroups, commutative algebra, algebraic geometry and graph theory. Our research also includes applications of finite field theory to network ...

Karen E. Smith is a mathematician recognized for her work in commutative algebra and algebraic geometry. She is known particularly for her innovative applications of algebraic techniques in ...

ABSTRACT: We investigate how the code automorphism group can be used to study such combinatorial object as codes. Consider GF(qn) as a vector over GF(q). For any k ...