1 citations · 1 across the 2 of their papers we have counts for
4 papers
On the transmission irregular trees with the maximum Wiener index
Ivan Damnjanović, Anran Xu, Kexiang Xu
The transmission of a vertex in a (chemical) graph is the sum of distances from to other vertices in . If any two vertices of have different transmissions, then…
Maximum number of spanning trees and connectivity: Graphs with a fixed minimum degree and bipartite graphs
Shaohan Xu, Kexiang Xu, Ivan Damnjanović
The number of spanning trees in a graph is the total number of distinct spanning subgraphs of that are trees. In this paper we characterize the unique graph with a prescrib…
Vertex-transitive nut graph order-degree existence problem
Ivan Damnjanović
A nut graph is a nontrivial simple graph whose adjacency matrix has a simple eigenvalue zero such that the corresponding eigenvector has no zero entries. It is known that the order…
On the maximum spectral radius of connected graphs with a prescribed order and size
Ivan Damnjanović
The spectral radius of a graph is the largest modulus of an eigenvalue of its adjacency matrix. Let be the set of all the connected simple graphs with vert…