Inês Serôdio Costa

activity

20202025

collaborators

4 papers

math.CO2025

A family of regular integral graphs and its application to the $n$ -Queens' graph

Domingos M. Cardoso, Inês Serôdio Costa, Rui Duarte

A family of regular integral graphs introduced in [I.F.S. Costa, The $n$ -Queens graph and its generalizations, Ph.D. Thesis, University of Aveiro 2024], denoted by $T (n)$ an…

math.CO2023

Integer eigenvalues of the $n$ -Queens graph

Domingos M. Cardoso, Inês Serôdio Costa, Rui Duarte

The $n$ -Queens graph, $Q (n)$ , is the graph obtained from a $n \times n$ chessboard where each of its $n^{2}$ squares is a vertex and two vertices are adjacent if and only if…

math.CO2022

Sharp bounds on the least eigenvalue of a graph determined from edge clique partitions

Domingos M. Cardoso, Inês Serôdio Costa, Rui Duarte

Sharp bounds on the least eigenvalue of an arbitrary graph are presented. Necessary and sufficient (just sufficient) conditions for the lower (upper) bound to be attained are deduc…

math.CO2020

Spectral properties of the $n$ -Queens' Graphs

Domingos M. Cardoso, Inês Serôdio Costa, Rui Duarte

The $n$ -Queens' graph, $Q (n)$ , is the graph associated to the $n \times n$ chessboard (a generalization of the classical $8 \times 8$ chessboard), with $n^{2}$ vertices, ea…

A family of regular integral graphs and its application to the n-Queens' graph

Integer eigenvalues of the n-Queens graph

Sharp bounds on the least eigenvalue of a graph determined from edge clique partitions

Spectral properties of the n-Queens' Graphs

A family of regular integral graphs and its application to the $n$ -Queens' graph

Integer eigenvalues of the $n$ -Queens graph

Spectral properties of the $n$ -Queens' Graphs