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Energy of generalized line graphs

✍ Scribed by Weiwei Lang; Ligong Wang

Book ID
116714114
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
292 KB
Volume
437
Category
Article
ISSN
0024-3795

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Generalized line graphs
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✍ DragoΕ‘ CvetkovicΜ€; Michael Doob; Slobodan SimicΜ€ πŸ“‚ Article πŸ“… 1981 πŸ› John Wiley and Sons 🌐 English βš– 775 KB

## Abstract Generalized line graphs extend the ideas of both line graphs and cocktail party graphs. They were originally motivated by spectral considerations. in this paper several (nonspectral) classical theorems about line graphs are extended to generalized line graphs, including the derivation a

Energy of line graphs
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A note on generalized line graphs
A note on generalized line graphs
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## Abstract Whitney's theorem on line graphs is extended to the class of generalized line graphs defined by Hoffman.

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✍ G. R. Vijayakumar πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 284 KB πŸ‘ 1 views

A new characterization of generalized line graphs, analogous to that of line graphs found by Van Rooij and Wilf [Acta Math Acad Sci Hungar 16 (1965), 263-269] is obtained. By a cycle of implications, we settle the equivalence of the definition of generalized line graph given by Hoffman [Combinatoria