Fuzzy incidence graphs can be used as models for nondeterministic interconnection networks having extra node-edgerelationships. For example, ramps in a highway system may be modeled as a fuzzy incidence graph so that unexpectedflow between cities and highways can be effectively studied and controlled. Like node and edge connectivity in graphs,node connectivity and arc connectivity in fuzzy inci...

The effect of twi st on the performance of polyethylene naphthal ate, dimensionally stable polyester and high-tenacity polyester cord yarns has been studied. h is observed that the twi st has a very important effect on the tensile properties, creep properties and fracture mechani sm. An increase in the twi st leve l increases breaking elongation and creep rate but decreases break ing strength. ...

We introduce a span program that decides st-connectivity, and generalize the span program to develop quantum algorithms for several graph problems. First, we give an algorithm for st-connectivity that uses O(n √ d) quantum queries to the n× n adjacency matrix to decide if vertices s and t are connected, under the promise that they either are connected by a path of length at most d, or are disco...

Eccentric connectivity index has been found to have a low degeneracy and hence a significant potential of predicting biological activity of certain classes of chemical compounds. We present here explicit formulas for eccentric connectivity index of various families of graphs. We also show that the eccentric connectivity index grows at most polynomially with the number of vertices and determine ...