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Extremal Properties of Graphs and Eigencentrality in Trees with a Given Degree Sequence

โœ Scribed by GRASSI, ROSANNA; STEFANI, SILVANA; TORRIERO, ANNA


Book ID
126974673
Publisher
Taylor and Francis Group
Year
2010
Tongue
English
Weight
369 KB
Volume
34
Category
Article
ISSN
0022-250X

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Extremal graphs of diameter two and give
โœ Knor, Martin; ?ir๏ฟฝ?, Jozef ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 137 KB ๐Ÿ‘ 2 views

It is known that for each d there exists a graph of diameter two and maximum degree d which has at least (d/2) (d + 2)/2 vertices. In contrast with this, we prove that for every surface S there is a constant d S such that each graph of diameter two and maximum degree d โ‰ฅ d S , which is embeddable in