The Average Height of Planted Plane Trees PDF Download
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Author: Stanford University. Computer Science Department
Publisher:
ISBN:
Category : Trees (Graph theory)
Languages : en
Pages : 32
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Book Description
An asymptotic expression for the average height of a planted plane tree is derived, based on an asymptotic series for sums such as the Summation (k> or = 1) of (2n, N + K) d(k) and the Summation (k> or = 1) of (e to the ( -k squared/n) power) d(k), where d(n) is the number of divisors of n. (Author)
Author: Stanford University. Computer Science Department
Publisher:
ISBN:
Category : Trees (Graph theory)
Languages : en
Pages : 32
Get Book Here
Book Description
An asymptotic expression for the average height of a planted plane tree is derived, based on an asymptotic series for sums such as the Summation (k> or = 1) of (2n, N + K) d(k) and the Summation (k> or = 1) of (e to the ( -k squared/n) power) d(k), where d(n) is the number of divisors of n. (Author)
Author: M. Karonski
Publisher: Elsevier
ISBN: 0080872557
Category : Mathematics
Languages : en
Pages : 365
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Book Description
Covering a wide range of Random Graphs subjects, this volume examines series-parallel networks, properties of random subgraphs of the n-cube, random binary and recursive trees, random digraphs, induced subgraphs and spanning trees in random graphs as well as matchings, hamiltonian cycles and closure in such structures. Papers in this collection also illustrate various aspects of percolation theory and its applications, properties of random lattices and random walks on such graphs, random allocation schemes, pseudo-random graphs and reliability of planar networks. Several open problems that were presented during a special session at the Seminar are also included at the end of the volume.
Author: V. F. Kolchin
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3112314077
Category : Mathematics
Languages : en
Pages : 380
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Book Description
No detailed description available for "Probabilistic Methods in Discrete Mathematics".
Author: A.B. Cremers
Publisher: Springer Science & Business Media
ISBN: 9783540119739
Category : Computers
Languages : en
Pages : 388
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Book Description
Author: Ronald C. Read
Publisher: Academic Press
ISBN: 1483263126
Category : Mathematics
Languages : en
Pages : 344
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Book Description
Graph Theory and Computing focuses on the processes, methodologies, problems, and approaches involved in graph theory and computer science. The book first elaborates on alternating chain methods, average height of planted plane trees, and numbering of a graph. Discussions focus on numbered graphs and difference sets, Euclidean models and complete graphs, classes and conditions for graceful graphs, and maximum matching problem. The manuscript then elaborates on the evolution of the path number of a graph, production of graphs by computer, and graph-theoretic programming language. Topics include FORTRAN characteristics of GTPL, design considerations, representation and identification of graphs in a computer, production of simple graphs and star topologies, and production of stars having a given topology. The manuscript examines the entropy of transformed finite-state automata and associated languages; counting hexagonal and triangular polyominoes; and symmetry of cubical and general polyominoes. Graph coloring algorithms, algebraic isomorphism invariants for graphs of automata, and coding of various kinds of unlabeled trees are also discussed. The publication is a valuable source of information for researchers interested in graph theory and computing.
Author: Laurent Alonso
Publisher: Springer Science & Business Media
ISBN: 1475763530
Category : Computers
Languages : en
Pages : 217
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Book Description
Random Generation of Trees is about a field on the crossroads between computer science, combinatorics and probability theory. Computer scientists need random generators for performance analysis, simulation, image synthesis, etc. In this context random generation of trees is of particular interest. The algorithms presented here are efficient and easy to code. Some aspects of Horton--Strahler numbers, programs written in C and pictures are presented in the appendices. The complexity analysis is done rigorously both in the worst and average cases. Random Generation of Trees is intended for students in computer science and applied mathematics as well as researchers interested in random generation.
Author: Steven R. Finch
Publisher: Cambridge University Press
ISBN: 1108470599
Category : Mathematics
Languages : en
Pages : 783
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Book Description
Famous mathematical constants include the ratio of circular circumference to diameter, π = 3.14 ..., and the natural logarithm base, e = 2.718 .... Students and professionals can often name a few others, but there are many more buried in the literature and awaiting discovery. How do such constants arise, and why are they important? Here the author renews the search he began in his book Mathematical Constants, adding another 133 essays that broaden the landscape. Topics include the minimality of soap film surfaces, prime numbers, elliptic curves and modular forms, Poisson-Voronoi tessellations, random triangles, Brownian motion, uncertainty inequalities, Prandtl-Blasius flow (from fluid dynamics), Lyapunov exponents, knots and tangles, continued fractions, Galton-Watson trees, electrical capacitance (from potential theory), Zermelo's navigation problem, and the optimal control of a pendulum. Unsolved problems appear virtually everywhere as well. This volume continues an outstanding scholarly attempt to bring together all significant mathematical constants in one place.
Author: Matthias Dehmer
Publisher: John Wiley & Sons
ISBN: 3527627995
Category : Medical
Languages : en
Pages : 480
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Book Description
Mathematical problems such as graph theory problems are of increasing importance for the analysis of modelling data in biomedical research such as in systems biology, neuronal network modelling etc. This book follows a new approach of including graph theory from a mathematical perspective with specific applications of graph theory in biomedical and computational sciences. The book is written by renowned experts in the field and offers valuable background information for a wide audience.
Author: Bozzano G Luisa
Publisher: Elsevier
ISBN: 0080933912
Category : Mathematics
Languages : en
Pages : 1011
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Book Description
This first part presents chapters on models of computation, complexity theory, data structures, and efficient computation in many recognized sub-disciplines of Theoretical Computer Science.
Author: Gheorghe Paeaun
Publisher: World Scientific
ISBN: 9812387838
Category : Computers
Languages : en
Pages : 1319
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Book Description
contents: vol 1 : Algorithms; Computational Complexity; Distributed Computing; Natural Computing.
