Results 191 to 200 of about 24,841 (222)

Extending the hyper‐logistic model to the random setting: New theoretical results with real‐world applications

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
We develop a full randomization of the classical hyper‐logistic growth model by obtaining closed‐form expressions for relevant quantities of interest, such as the first probability density function of its solution, the time until a given fixed population is reached, and the population at the inflection point.
Juan Carlos Cortés   +2 more
wiley   +1 more source
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On some extremal problems in graph theory

Israel Journal of Mathematics, 1965
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.
Paul Erdos
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Extremal problems in graph theory

Journal of Graph Theory, 1977
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.
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An extremal problem in graph theory

Israel Journal of Mathematics, 1968
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.
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On an extremal inverse problem in graph theory

Journal of Applied and Industrial Mathematics, 2015
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.
Daĭnyak, A. B., Kurnosov, A. D.
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Some problems in extremal graph theory and finite geometry

2023
This 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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