activity
20152023
collaborators

7 papers

math.CO2023

Cospectrality results for signed graphs with two eigenvalues unequal to

Willem H. Haemers, Hatice Topcu

Recently the collection of all signed graphs for which the adjacency matrix has all but at most two eigenvalues equal to has been determined. Here we investigate $…

math.CO2023

The signed graphs with two eigenvalues unequal to

Willem Haemers, Hatice Topcu

We complete the determination of the signed graphs for which the adjacency matrix has all but at most two eigenvalues equal to . The unsigned graphs and the disconnected, th…

math.CO2021

On signed graphs with at most two eigenvalues unequal to

Willem H. Haemers, Hatice Topcu

We present the first steps towards the determination of the signed graphs for which the adjacency matrix has all but at most two eigenvalues equal to 1 or -1. Here we deal with the…

math.CO2018

On the spectral characterization of mixed extensions of

Willem H. Haemers, Sezer Sorgun, Hatice Topcu

A mixed extension of a graph is a graph obtained from by replacing each vertex of by a clique or a coclique, whilst two vertices in corresponding to distinct ve…

math.CO2017

The Kite Graph is Determined by Its Adjacency Spectrum

Sezer Sorgun, Hatice Topcu

The Kite graph is obtained by appending the complete graph to a pendant vertex of the path . In this paper, the kite graph is proved to be determined…

math.CO2015

On the spectral characterization of pineapple graphs

Hatice Topcu, Sezer Sorgun, Willem H. Haemers

The pineapple graph is obtained by appending pendant edges to a vertex of a complete graph (). Zhang and Zhang ["Some graphs determined by th…

math.CO2015

On the spectral characterization of Kite graphs

Sezer Sorgun, Hatice Topcu

The \textit{Kite graph}, denoted by is obtained by appending a complete graph to a pendant vertex of a path . In this paper, firstly we show that no two…