Cayley graphs, constructed from the algebraic structure of groups, provide a natural framework for exploring complex combinatorial properties. In these graphs, vertices represent group elements ...

Formulated in 1961 by mathematician Claude Berge, the conjecture states that two different types of graphs, called Berge graphs and perfect graphs, are actually the same.

But in perfect graphs, you do not. As the French graph theorist Claude Berge defined them in 1961, perfect graphs require a number of colors exactly equal to the size of their largest clique.

Perfect graphs are, by definition, colorable with the most limited palette possible. When coloring a graph, every node in a mutually connected cluster, or “clique,” must receive a distinct color, so ...

Maria Chudnovsky studies mathematical objects called graphs, which consist of dots and lines, with each line connecting two dots. "A graph is a good tool to model real-life situations where the ...

This is a preview. Log in through your library . Abstract We obtain a sharp result that for any even 𝑛 ≥ 34, every {𝐷𝑛, 𝐷𝑛+1}-regular graph of order 𝑛 contains [𝑛/4] disjoint perfect matchings, ...

Cayley Graphs And Perfect Codes Publication Trend The graph below shows the total number of publications each year in Cayley Graphs And Perfect Codes.