### Abstract

Original language | English |
---|---|

Place of Publication | Tilburg |

Publisher | Operations research |

Number of pages | 17 |

Volume | 2007-33 |

Publication status | Published - 2007 |

### Publication series

Name | CentER Discussion Paper |
---|---|

Volume | 2007-33 |

### Fingerprint

### Keywords

- Spectra of graphs
- Cospectral graphs
- Generalized adjacency matrices
- Distance-regular graphs

### Cite this

*Developments on Spectral Characterizations of Graphs*. (CentER Discussion Paper; Vol. 2007-33). Tilburg: Operations research.

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**Developments on Spectral Characterizations of Graphs.** / van Dam, E.R.; Haemers, W.H.

Research output: Working paper › Discussion paper › Other research output

TY - UNPB

T1 - Developments on Spectral Characterizations of Graphs

AU - van Dam, E.R.

AU - Haemers, W.H.

N1 - Subsequently published in Discrete Mathematics, 2009 Pagination: 17

PY - 2007

Y1 - 2007

N2 - In [E.R. van Dam and W.H. Haemers, Which graphs are determined by their spectrum?, Linear Algebra Appl. 373 (2003), 241-272] we gave a survey of answers to the question of which graphs are determined by the spectrum of some matrix associated to the graph. In particular, the usual adjacency matrix and the Laplacian matrix were addressed. Furthermore, we formulated some research questions on the topic. In the meantime some of these questions have been (partially) answered. In the present paper we give a survey of these and other developments.2000 Mathematics Subject Classification: 05C50

AB - In [E.R. van Dam and W.H. Haemers, Which graphs are determined by their spectrum?, Linear Algebra Appl. 373 (2003), 241-272] we gave a survey of answers to the question of which graphs are determined by the spectrum of some matrix associated to the graph. In particular, the usual adjacency matrix and the Laplacian matrix were addressed. Furthermore, we formulated some research questions on the topic. In the meantime some of these questions have been (partially) answered. In the present paper we give a survey of these and other developments.2000 Mathematics Subject Classification: 05C50

KW - Spectra of graphs

KW - Cospectral graphs

KW - Generalized adjacency matrices

KW - Distance-regular graphs

M3 - Discussion paper

VL - 2007-33

T3 - CentER Discussion Paper

BT - Developments on Spectral Characterizations of Graphs

PB - Operations research

CY - Tilburg

ER -