Studio Cariologico DellaGagea SoleiroliiF. Schultz

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Art.-Schultz (F)

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The Modified Schultz Index of Trees

For a graph G = (V,E), the modified Schultz index of G is defined as S∗(G) = ∑ {u,v}⊂V (G) (dG(u) · dG(v))dG(u, v) where dG(u) (or d(u)) is the degree of the vertex u of G, and dG(u, v) is the distance between u and v. Lower bounds on modified Schultz index in trees in terms of the order and diameter are determined. Mathematics Subject Classification: 05C05, 05C12

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Extremal Modified Schultz Index of Bicyclic Graphs

For a graph G = (V,E), the modified Schultz index of G is defined as S∗(G) = ∑ {u,v}⊆V (G) (dG(u) · dG(v))dG(u, v) where dG(u) (or d(u)) is the degree of the vertex u of G, and dG(u, v) is the distance between u and v. Let B(n) be the set of bicyclic graph with n vertices. In this paper, we study the modified Schultz index of B(n), graphs in B(n) with the smallest modified Schultz index S∗(G) a...

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Lieb-Schultz-Mattis theorem for quasitopological systems

Michael Freedman,1 Chetan Nayak,1,2 and Kirill Shtengel3,4,* 1Microsoft Research, Station Q, CNSI Building, University of California, Santa Barbara, California 93106, USA 2Department of Physics, University of California, Santa Barbara, California 93106, USA 3Department of Physics and Astronomy, University of California, Riverside, California 92521, USA 4California Institute of Technology, Pasad...

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ژورنال

عنوان ژورنال: Caryologia

سال: 1950

ISSN: 0008-7114,2165-5391

DOI: 10.1080/00087114.1950.10797147