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Sinopsis
This book is suitable for both undergraduate students (first year calculus and undergraduate graph theory) and post-graduate students (algebraic graph theory and combinatorics). The main thrust of the book involves the join between graph theory and calculus, by introducing 10 different ratios involving graph theoretical concepts. When these ratios are a function f(n), of the order n of graphs G belonging to a class of graphs, then the horizontal asymptotic behavior of f(n) becomes significant in terms of practical applications, when a large number of vertices are involved, such as in networks, or molecules with a large number of atoms. Moreover, by attaching the average degree of G (the length of G) to the Riemann integral of f(n) (the height of G) the idea of area becomes relevant in terms of this ratio involving such classes of graphs. These ratios have realized such aspects as: • Asymptotic convergence of 1/e identical to the famous secretary problem. • The chromatic number and energy of a graph G is compared to the same for the complete graph and the idea of domination involving these properties is investigated • Sequences, as a subsequence of the Farey sequence.
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This book is suitable for both undergraduate students (first year calculus and undergraduate graph theory) and post-graduate students (algebraic graph theory and combinatorics). The main thrust of the book involves the join between graph theory and calculus, by introducing 10 different ratios involving graph theoretical concepts. When these ratios are a function f(n), of the order n of graphs G belonging to a class of graphs, then the horizontal asymptotic behavior of f(n) becomes significant in terms of practical applications, when a large number of vertices are involved, such as in networks, or molecules with a large number of atoms. Moreover, by attaching the average degree of G (the length of G) to the Riemann integral of f(n) (the height of G) the idea of area becomes relevant in terms of this ratio involving such classes of graphs. These ratios have realized such aspects as: · Asymptotic convergence of 1/e identical to the famous secretary problem. · The chromatic number and energy of a graph G is compared to the same for the complete graph and the idea of domination involving these properties is investigated · Sequences, as a subsequence of the Farey sequence.
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Graph Theory and Calculus: Ratios of Classes of Graphs
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LAP LAMBERT Academic Publishing, 2015
ISBN 10: 3659707708
ISBN 13: 9783659707704
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Graph Theory and Calculus Ratios of Classes of Graphs
Publicado por
LAP LAMBERT Academic Publishing, 2015
ISBN 10: 3659707708
ISBN 13: 9783659707704
Nuevo
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Graph Theory and Calculus Ratios of Classes of Graphs
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LAP LAMBERT Academic Publishing, 2015
ISBN 10: 3659707708
ISBN 13: 9783659707704
Nuevo
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Graph Theory and Calculus: Ratios of Classes of Graphs
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LAP LAMBERT Academic Publishing, 2015
ISBN 10: 3659707708
ISBN 13: 9783659707704
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Winter PaulPaul August Winter is an honorary senior research associate, of the School of Mathematics, Statistics and Computer Science, at the University of Kwa-Zulu Natal, Durban, South Africa, where he has taught mathematics for ove. Nº de ref. del artículo: 158224144
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Graph Theory and Calculus: Ratios of Classes of Graphs
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LAP LAMBERT Academic Publishing, 2015
ISBN 10: 3659707708
ISBN 13: 9783659707704
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Graph Theory and Calculus: Ratios of Classes of Graphs
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LAP LAMBERT Academic Publishing 2015-05-06, 2015
ISBN 10: 3659707708
ISBN 13: 9783659707704
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Graph Theory and Calculus: Ratios of Classes of Graphs
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LAP LAMBERT Academic Publishing Mai 2015, 2015
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is suitable for both undergraduate students (first year calculus and undergraduate graph theory) and post-graduate students (algebraic graph theory and combinatorics). The main thrust of the book involves the join between graph theory and calculus, by introducing 10 different ratios involving graph theoretical concepts. When these ratios are a function f(n), of the order n of graphs G belonging to a class of graphs, then the horizontal asymptotic behavior of f(n) becomes significant in terms of practical applications, when a large number of vertices are involved, such as in networks, or molecules with a large number of atoms. Moreover, by attaching the average degree of G (the length of G) to the Riemann integral of f(n) (the height of G) the idea of area becomes relevant in terms of this ratio involving such classes of graphs. These ratios have realized such aspects as: - Asymptotic convergence of 1/e identical to the famous secretary problem. - The chromatic number and energy of a graph G is compared to the same for the complete graph and the idea of domination involving these properties is investigated - Sequences, as a subsequence of the Farey sequence. 216 pp. Englisch. Nº de ref. del artículo: 9783659707704
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Graph Theory and Calculus: Ratios of Classes of Graphs
Publicado por
LAP LAMBERT Academic Publishing, 2015
ISBN 10: 3659707708
ISBN 13: 9783659707704
Nuevo
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Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - This book is suitable for both undergraduate students (first year calculus and undergraduate graph theory) and post-graduate students (algebraic graph theory and combinatorics). The main thrust of the book involves the join between graph theory and calculus, by introducing 10 different ratios involving graph theoretical concepts. When these ratios are a function f(n), of the order n of graphs G belonging to a class of graphs, then the horizontal asymptotic behavior of f(n) becomes significant in terms of practical applications, when a large number of vertices are involved, such as in networks, or molecules with a large number of atoms. Moreover, by attaching the average degree of G (the length of G) to the Riemann integral of f(n) (the height of G) the idea of area becomes relevant in terms of this ratio involving such classes of graphs. These ratios have realized such aspects as: - Asymptotic convergence of 1/e identical to the famous secretary problem. - The chromatic number and energy of a graph G is compared to the same for the complete graph and the idea of domination involving these properties is investigated - Sequences, as a subsequence of the Farey sequence. Nº de ref. del artículo: 9783659707704
Cantidad disponible: 1 disponibles
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Graph Theory and Calculus: Ratios of Classes of Graphs
Publicado por
LAP LAMBERT Academic Publishing, 2015
ISBN 10: 3659707708
ISBN 13: 9783659707704
Nuevo
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Graph Theory and Calculus: Ratios of Classes of Graphs
Publicado por
LAP LAMBERT Academic Publishing Mai 2015, 2015
ISBN 10: 3659707708
ISBN 13: 9783659707704
Nuevo
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Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
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Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book is suitable for both undergraduate students (first year calculus and undergraduate graph theory) and post-graduate students (algebraic graph theory and combinatorics). The main thrust of the book involves the join between graph theory and calculus, by introducing 10 different ratios involving graph theoretical concepts. When these ratios are a function f(n), of the order n of graphs G belonging to a class of graphs, then the horizontal asymptotic behavior of f(n) becomes significant in terms of practical applications, when a large number of vertices are involved, such as in networks, or molecules with a large number of atoms. Moreover, by attaching the average degree of G (the length of G) to the Riemann integral of f(n) (the height of G) the idea of area becomes relevant in terms of this ratio involving such classes of graphs. These ratios have realized such aspects as: ¿ Asymptotic convergence of 1/e identical to the famous secretary problem. ¿ The chromatic number and energy of a graph G is compared to the same for the complete graph and the idea of domination involving these properties is investigated ¿ Sequences, as a subsequence of the Farey sequence.Books on Demand GmbH, Überseering 33, 22297 Hamburg 216 pp. Englisch. Nº de ref. del artículo: 9783659707704
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