Abstract
| Original language | English |
|---|---|
| Journal | Discrete Applied Mathematics |
| DOIs | |
| Publication status | E-pub ahead of print - Oct 2018 |
Fingerprint
Keywords
- adjacency matrix
- cospectral graphs
- spectral characterization
- pineapple graph
Cite this
}
The graphs cospectral with the pineapple graph. / Topcu, Hatice; Sorgun, Sezer; Haemers, W. H.
In: Discrete Applied Mathematics, 10.2018.Research output: Contribution to journal › Article › Scientific › peer-review
TY - JOUR
T1 - The graphs cospectral with the pineapple graph
AU - Topcu, Hatice
AU - Sorgun, Sezer
AU - Haemers, W. H.
PY - 2018/10
Y1 - 2018/10
N2 - The pineapple graph is obtained by appending q pendant edges to a vertex of a complete graph. We prove that among connected graphs, the pineapple graph is determined by its adjacency spectrum. Moreover, we determine all disconnected graphs which are cospectral with a pineapple graph. Thus we find for which values of p and q the pineapple graph is determined by its adjacency spectrum. The main tool is a recent classification of all graphs with all but three eigenvalues equal to 0 or -1 by the third author.
AB - The pineapple graph is obtained by appending q pendant edges to a vertex of a complete graph. We prove that among connected graphs, the pineapple graph is determined by its adjacency spectrum. Moreover, we determine all disconnected graphs which are cospectral with a pineapple graph. Thus we find for which values of p and q the pineapple graph is determined by its adjacency spectrum. The main tool is a recent classification of all graphs with all but three eigenvalues equal to 0 or -1 by the third author.
KW - adjacency matrix
KW - cospectral graphs
KW - spectral characterization
KW - pineapple graph
U2 - 10.1016/j.dam.2018.10.002
DO - 10.1016/j.dam.2018.10.002
M3 - Article
JO - Discrete Applied Mathematics
JF - Discrete Applied Mathematics
SN - 0166-218X
ER -