This paper deals with the relationship between the periodic orbits of continuous maps on graphs and the topological entropy of the map. We show that the topological entropy of a graph map can be ...

Topological order represents a fundamentally different paradigm of organising matter, one where long‐range entanglement and ground‐state degeneracy are determined by the global properties of the ...

The inverse degree of a graph G with no isolated vertices is defined as the sum of reciprocal of vertex degrees of the graph G. In this paper, we obtain several lower and upper bounds on inverse ...