Spectra of the extended neighborhood corona and extended corona of two graphs
| Main Authors: | Adiga, Chandrashekar; Department of Studies in Mathematics, University of Mysore, Manasagangothri, Mysuru - 570 006, India, B.R., Rakshith; Department of Studies in Mathematics, University of Mysore, Manasagangothri, Mysuru - 570 006, India, K.N., Subba Krishna; Department of Studies in Mathematics, University of Mysore, Manasagangothri, Mysuru - 570 006, India |
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| Other Authors: | University Grants Commission, Government of India ,New Delhi |
| Format: | Article info application/pdf eJournal |
| Bahasa: | eng |
| Terbitan: |
GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB
, 2016
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| Subjects: | |
| Online Access: |
http://www.ejgta.org/index.php/ejgta/article/view/158 http://www.ejgta.org/index.php/ejgta/article/view/158/pdf_19 |
Daftar Isi:
- In this paper we define extended corona and extended neighborhoodcorona of two graphs $G_{1}$ and $G_{2}$, which are denoted by$G_{1}\bullet G_{2}$ and $G_{1}\ast G_{2}$ respectively. Wecompute their adjacency spectrum, Laplacian spectrum and signlessLaplacian spectrum. As applications, we give methods to constructinfinite families of integral graphs, Laplacian integral graphsand expander graphs from known ones.