Graph colouring remains a central topic in graph theory, providing the mathematical framework for assigning colours to the elements of a graph under specific constraints. In particular, the ...

In this paper, a graph-theory-based approach for representing planar mechanisms is presented, the Santiago Portilla method (SPM). From the corresponding adjacency matrix, SPM generates an extended ...

Scientists have developed an exact approach to a key quantum error correction problem once believed to be unsolvable, and have shown that what appeared to be hardware-related errors may in fact be due ...

A graph consists of some points and lines between them. The length of the lines and position of the points do not matter. Each object in a graph is called a node.Description: A graph ‘G’ is a set of ...

Some important classes of graphs . Planar graphs; Separable and nonseparable graphs; Bipartite graphs; Directed graphs . Basic ... Professor Chen is widely known in the profession for his Applied ...

While research on the geometry of planar graphs has been active in the past decades, many properties of planar metrics remain mysterious. This paper studies a fundamental aspect of the planar graph ...

YAGS - Yet Another Graph System is a GAP package for dealing with graphs, in the sense of Graph Theory (not bar graphs, pie charts nor graphs of functions). Hence our graphs are ordered pairs G=(V,E), ...

Novel and important applications of number theory to graph theory and vice versa had been made in the past decade. The two main tools used are based on the estimates of character sums and the ...

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