Novel Concepts in Rough Cayley Fuzzy Graphs with Applications

Cayley Bipolar Fuzzy Graphs

We introduce the concept of Cayley bipolar fuzzy graphs and investigate some of their properties. We present some interesting properties of bipolar fuzzy graphs in terms of algebraic structures. We also discuss connectedness in Cayley bipolar fuzzy graphs.

Applications of Cayley Graphs

This paper demonstrates the power of the Cayley graph approach to solve specific applications , such as rearrangement problems and the design of interconnection networks for parallel CPU's. Recent results of the authors for efficient use of Cayley graphs are used here in exploratory analysis to extend recent results of Babai et al. on a family of trivalent Cayley graphs associated with P SL 2 (...

Applications of Cayley Graphs

Cayley graphs and G-graphs: Some applications

The 'Butterfly effect' in Cayley graphs with applications to genomics.

Suppose a finite set X is repeatedly transformed by a sequence of permutations of a certain type acting on an initial element x to produce a final state y. For example, in genomics applications, X could be a set of genomes and the permutations certain genome 'rearrangements' or, in group theory, X could be the set of configurations of a Rubik's cube and the permutations certain specified moves....