Degree Distance in Graphs with Forbidden Subgraphs
نویسندگان
چکیده
منابع مشابه
Degree Powers in Graphs with Forbidden Subgraphs
For every real p > 0 and simple graph G, set f (p,G) = ∑ u∈V (G) d (u) , and let φ (r, p, n) be the maximum of f (p,G) taken over all Kr+1-free graphs G of order n. We prove that, if 0 < p < r, then φ (r, p, n) = f (p, Tr (n)) , where Tr (n) is the r-partite Turan graph of order n. For every p ≥ r + ⌈√ 2r ⌉ and n large, we show that φ (p, n, r) > (1 + ε) f (p, Tr (n)) for some ε = ε (r) > 0. Ou...
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ژورنال
عنوان ژورنال: Match
سال: 2023
ISSN: ['0340-6253']
DOI: https://doi.org/10.46793/match.90-3.685m