ABSTRACT: Let be a connected Cayley graph of group G, then Γ is called normal if the right regular representation of G is a normal subgroup of , the full automorphism group of Γ. For the case where G ...

For a Directed Graph, its Transitive Closure of a Relation R on a Set A is defined as the smallest symmetric relation that contains R. These transitive closures help to find the Max Reachability of ...

Combinatorics and discrete mathematics form a vibrant and expansive branch of modern mathematics, dedicated to the study of finite or countable structures and the methods used to count, classify, and ...

Transitive factorizations in the symmetric group have recently become objects of intense interest because of their connections with algebraic geometry. We shall briefly discuss these geometric ...

Introduction to Logic: Logical Operators -- negation, conjunction, disjunction, XOR, conditional, biconditional. Precedence of logical operators. The conditional operator, examples of translating ...

ABSTRACT: In point set topology, it is well known that the Kuratowski 14-set problem is one of the most interesting results. In this note, we first give a brief survey of the Kuratowski’s theorem. In ...