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http://hdl.handle.net/10773/13472
Title: | Relations between (κ, τ)-regular sets and star complements |
Author: | Andelic, M. Cardoso, Domingos M. Simic, S. K . |
Keywords: | Eigenvalue Star complement Non-main eigenvalue Hamiltonian graph |
Issue Date: | Mar-2013 |
Publisher: | Springer |
Abstract: | Let G be a finite graph with an eigenvalue μ of multiplicity m. A set X of m vertices in G is called a star set for μ in G if μ is not an eigenvalue of the star complement G\X which is the subgraph of G induced by vertices not in X. A vertex subset of a graph is (k ,t)-regular if it induces a k -regular subgraph and every vertex not in the subset has t neighbors in it. We investigate the graphs having a (k,t)-regular set which induces a star complement for some eigenvalue. A survey of known results is provided and new properties for these graphs are deduced. Several particular graphs where these properties stand out are presented as examples. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/13472 |
DOI: | 10.1007/s10587-013-0005-5 |
ISSN: | 0011-4642 |
Appears in Collections: | CIDMA - Artigos |
Files in This Item:
File | Description | Size | Format | |
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CzecholovakMathJournal(2013).pdf | Research article | 204.04 kB | Adobe PDF | View/Open |
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