Paths of specified length in random -partite graphs.
Subramanian, C.R. (2001)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Subramanian, C.R. (2001)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Ramin Imany-Nabiyyi (2008)
Discussiones Mathematicae Graph Theory
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We study random circle graphs which are generated by throwing n points (vertices) on the circle of unit circumference at random and joining them by an edge if the length of shorter arc between them is less than or equal to a given parameter d. We derive here some exact and asymptotic results on sizes (the numbers of vertices) of "typical" connected components for different ways of sampling them. By studying the joint distribution of the sizes of two components, we "go into" the structure...
Anthony Bonato, Changping Wang (2008)
Discussiones Mathematicae Graph Theory
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Domination parameters in random graphs G(n,p), where p is a fixed real number in (0,1), are investigated. We show that with probability tending to 1 as n → ∞, the total and independent domination numbers concentrate on the domination number of G(n,p).
Zbigniew Palka (1981)
Colloquium Mathematicae
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Fountoulakis, Nikolaos, McDiarmid, Colin (2002)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Rybarczyk, Katarzyna (2011)
The Electronic Journal of Combinatorics [electronic only]
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Kang, Mihyun (2003)
International Journal of Mathematics and Mathematical Sciences
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Katarzyna Rybarczyk (2017)
Discussiones Mathematicae Graph Theory
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We study problems related to the chromatic number of a random intersection graph G (n,m, p). We introduce two new algorithms which colour G (n,m, p) with almost optimum number of colours with probability tending to 1 as n → ∞. Moreover we find a range of parameters for which the chromatic number of G (n,m, p) asymptotically equals its clique number.
D. Banjevic, Z. Ivkovic (1979)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Beer, Elizabeth, Fill, James Allen, Janson, Svante, Scheinerman, Edward R. (2011)
The Electronic Journal of Combinatorics [electronic only]
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S. Trybuła (1961)
Applicationes Mathematicae
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S. Trybuła (1965)
Applicationes Mathematicae
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Austin, Tim (2008)
Probability Surveys [electronic only]
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Zbigniew Palka
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CONTENTS1. Introduction...........................................................................5 1.1. Purpose and scope..........................................................5 1.2. Probability-theoretic preliminaries....................................6 1.3. Graphs............................................................................11 1.4. Random graphs..............................................................132. Vertex-degrees....................................................................15 2.1....
Kifer, Yuri (1998)
Documenta Mathematica
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Ove Frank, Krzysztof Nowicki (1989)
Banach Center Publications
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