Abstract: It is shown that all finite Cayley graphs can be represented by generalized chordal rings (GCR). An example Borel Cayley graph is used to illustrate the generation of GCR representations. A ...

film_to_actor = graph.morphism .out('/film/film/starring') .out('/film/performance/actor') graph.v .has('name', 'Casablanca') .follow(film_to_actor) .out('name').all ...

Cayley and nilpotent graphs arise from the interaction between graph theory and algebra and are used to visualize the structures of some algebraic objects as groups and commutative rings. On the other ...

Abstract: Using group theory, we analyze cycle GF(2 p) codes that use Cayley graphs as their associated graphs. First, we show that through row and column permutations the parity check matrix H can be ...

Below is the popularity graph of the name Cayley from 1984 to 2024, based on data from the SSA. Among the SSA compilation of popular girl's names over the past 10 years, the name Cayley ranked highest ...

A graph is called a partial cube if it can be embedded into a hypercube isometrically. In this paper, we study a class of Cayley graphs —Cayley graphs generated by transpositions and show that a ...

1 Centre for Research in Mathematics and Data Science, Western Sydney University, Sydney, NSW, Australia 2 School of Physics, Mathematics, and Computing, University of Western Australia, Perth, WA, ...

Recently, Huang [arXiv:1907.00847] gave a very elegant proof of the Sensitivity Conjecture by proving that hypercube graphs have the following property: every induced subgraph on a set of more than ...