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An extremal problem in graph theory
It is proved that the maximum number of cut-vertices in a connected graph withn vertices andm edges is $$max\left\{ {q:m \leqq (_2^{n - q} ) + q} \right\}$$ All the extremal graphs are determined and the corresponding problem for cut-edges is also solved.
A. Ramachandra Rao
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On an extremal inverse problem in graph theory
Summary: We consider the problem of constructing a graph having some given number of independent sets. The bounds are obtained for the number of vertices in bipartite graphs with the prescribed number of independent sets and for the number of inclusion maximal independent sets.
A. B. Dainyak, A. D. Kurnosov
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Extremal problems in graph theory
AbstractThe aim of this note is to give an account of some recent results and state a number of conjectures concerning extremal properties of graphs.
Béla Bollobás
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On some extremal problems in graph theory
Der Verf. beweist, daß für eine genügend große Konstante \(c\) jeder Graph \(G\) mit \(n\) Punkten und \(cn^{3/2}\) Kanten ein Sechseck \(x_1,x_2,x_3,x_4,x_5,x_6\) enthält und dazu noch einen siebenten Punkt \(y\), der mit \(x_1,x_3\) und \(x_5\) verbunden ist.
P. Erdös
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AN EXTREMAL PROBLEM IN GRAPH THEORY
H. L. Abbott, D. Hanson, A. C. LIU
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Two problems in extremal graph theory
Paul Erdős
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Some problems in extremal graph theory and finite geometry
2023This thesis is devoted to the study of several problems in extremal graph theory and finite geometry. We study properties such as girth, spectrum, and automorphism group of various families of algebraically defined graphs. We present a new and shorter proof of the girth of the family of graphs D(n, q). We also determine the asymptotics of the number of
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Problems in Discrete Geometry, Incidence Geometry,and Extremal Graph Theory
In this thesis, we study several problems from discrete geometry, incidence geometry, and extremal graph theory. In Chapter 1, we discuss some results in discrete geometry. We study three different but similar discrete geometry problems, which share a similar idea on constructions.openaire +1 more source
On an extremal inverse problem in the graph theory
Diskretnyi analiz i issledovanie operatsii, 2015Dainiak, A. B., Kurnosov, A. D.
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Poly(ADP-Ribose) polymerase (PARP) inhibitors: Exploiting a synthetic lethal strategy in the clinic
Ca-A Cancer Journal for Clinicians, 2011Timothy A Yap, Johann Sebastian de Bono
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