Abstract The cubic fuzzy graph structure, as a combination of graphs and structures, shows better capabilities in solving complex problems, especially cases where there are multiple relationships. quality method determining the degree vertices this type simultaneously supports membership interval-valued membership, addition to multiplicity relations, motivated us conduct study on maximal produc...

In the continuous setting, we expect product of two oscillating functions to oscillate even more (generically). On a graph G=(V,E), there are only |V| eigenvectors Laplacian L=D−A, so one oscillates ‘the most’. The purpose this short note is point out an interesting phenomenon: if ϕ1,ϕ2 delocalized L corresponding large eigenvalues, then their (pointwise) ϕ1⋅ϕ2 smooth (in sense small Dirichlet ...

A complex fuzzy set (CFS) is described by a complex-valued truth membership function, which combination of standard true function plus phase term. In this paper, we extend the idea graph (FG) to (CFG). The CFS complexity arises from variety values that its can attain. contrast range expanded plane’s unit circle rather than [0,1]. As result, provides mathematical structure for representing in te...

An efficient branch and bound algorithm for matching protein structures has been developed. The compared protein structures are represented as graphs and a product graph of these graphs is calculated. The resulting product graph is then the input to our algorithm. A maximum clique in the product graph corresponds to the maximum common substructure in the original graphs. Our algorithm, which gi...

In this paper, some applications of our earlier results in working with chemical graphs are presented.