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Indecomposable laplacian integral graphs

โœ Scribed by Robert Grone; Russell Merris


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
189 KB
Volume
428
Category
Article
ISSN
0024-3795

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## Abstract Let __G__ be a simple graph of order __n__ with Laplacian spectrum {ฮป~__n__~, ฮป~__n__โˆ’1~, โ€ฆ, ฮป~1~} where 0=ฮป~__n__~โ‰คฮป~__n__โˆ’1~โ‰คโ‹…โ‰คฮป~1~. If there exists a graph whose Laplacian spectrum is __S__={0, 1, โ€ฆ, __n__โˆ’1}, then we say that __S__ is Laplacian realizable. In 6, Fallat et al. posed