activity
20142023
most citedOpen problems in the spectral theory of signed graphs

6 citations · 15 across the 12 of their papers we have counts for

collaborators

12 papers

math.CO2023

On the divisibility of H-shape trees and their spectral determination

Zhen Chen, Jianfeng Wang, Maurizio Brunetti +1

A graph is divisible by a graph if the characteristic polynomial of is divisible by that of . In this paper, a necessary and sufficient condition for recursive graph…

math.CO2022★ 1 cited

Inertia and spectral symmetry of eccentricity matrices of some clique trees

Xiaohong Li, Jianfeng Wang, Maurizio Brunetti

The eccentricity matrix of a connected graph is obtained from the distance matrix of by leaving unchanged the largest nonzero entries in each row and each c…

math.CO2022

On distance-balanced generalized Petersen graphs

Gang Ma, Jianfeng Wang, Sandi Klavžar

A connected graph of diameter is -distance-balanced if for every with , where is the…

math.CO2022

The strong chromatic index of 1-planar graphs

Yiqiao Wang, Ning Song, Jianfeng Wang +1

The chromatic index of a graph is the smallest for which admits an edge -coloring such that any two adjacent edges have distinct colors. The strong chromatic…

math.CO2021

On graphs with exactly one anti-adjacency eigenvalue and beyond

Jianfeng Wang, Xingyu Lei, Mei Lu +2

The anti-adjacency matrix of a graph is constructed from the distance matrix of a graph by keeping each row and each column only the largest distances. This matrix can be interpret…

math.CO2020

A Hoffman's Theorem: a revisit with new discovery

Jianfeng Wang, Jing Wang, Maurizio Brunetti

In 1972, A. J. Hoffman proved his celebrated theorem concerning the limit points of spectral radii of non-negative symmetric integral matrices less than . In thi…

math.CO2020★ 2 cited

The Hoffman program of graphs: old and new

Jianfeng Wang, Jing Wang, Maurizio Brunetti

The Hoffman program with respect to any real or complex square matrix associated to a graph stems from A. J. Hoffman's pioneering work on the limit points for the spectral…

math.CO2019

On joins of a clique and a co-clique as star complements in regular graphs

Yuhong Yang, Jianfeng Wang, Qiongxiang Huang +1

In this paper we consider -regular graphs that admit the vertex set partition such that one of the induced subgraphs is the join of an -vertex clique and a -vertex co-…

math.CO2019★ 6 cited

Open problems in the spectral theory of signed graphs

Francesco Belardo, Sebastian M. Cioabă, Jack H. Koolen +1

Signed graphs are graphs whose edges get a sign or (the signature). Signed graphs can be studied by means of graph matrices extended to signed graphs in a natural way. Re…

nucl-th2017★ 1 cited

Two bosons in a narrowly resonant trap

Bingwei Long, Jianfeng Wang, Songlin Lyu

It is rare for an -wave resonance to remain narrow while approaching threshold as a result of the interaction parameters being fine tuned. Such an interaction is, however, reali…

math.CO2014

On a Problem of Harary and Schwenk on Graphs with Distinct Eigenvalues

Xueliang Li, Jianfeng Wang, Qiongxiang Huang

Harary and Schwenk posed the problem forty years ago: Which graphs have distinct adjacency eigenvalues? In this paper, we obtain a necessary and sufficient condition for an Hermiti…

math.CO2014★ 5 cited

Randić energy and Randić eigenvalues

Xueliang Li, Jianfeng Wang

Let be a graph of order , and the degree of a vertex of . The Randić matrix of is defined by if the vertic…