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Author : Nora Hartsfield
Publisher : Courier Corporation
Page : 276 pages
File Size : 41,39 MB
Release : 2013-04-15
Category : Mathematics
ISBN : 0486315525
Stimulating and accessible, this undergraduate-level text covers basic graph theory, colorings of graphs, circuits and cycles, labeling graphs, drawings of graphs, measurements of closeness to planarity, graphs on surfaces, and applications and algorithms. 1994 edition.
Author : Anton Petrunin
Publisher :
Page : 86 pages
File Size : 38,98 MB
Release : 2019-12-23
Category :
ISBN : 9781650147192
This is a supplement for "Pearls in graph theory" -- a textbook written by Nora Hartsfield and Gerhard Ringel. List of topics: Probabilistic method / Deletion-contraction formulas / Matrix theorem / Graph-polynomials / Generating functions / Minimum spanning trees / Marriage theorem and its relatives / Toroidal graphs / Rado graph.
Author : Nora Hartsfield
Publisher :
Page : 339 pages
File Size : 16,37 MB
Release : 1988
Category :
ISBN :
Author : Ronald Gould
Publisher : Courier Corporation
Page : 353 pages
File Size : 40,42 MB
Release : 2013-10-03
Category : Mathematics
ISBN : 0486320367
An introductory text in graph theory, this treatment covers primary techniques and includes both algorithmic and theoretical problems. Algorithms are presented with a minimum of advanced data structures and programming details. 1988 edition.
Author : Martin Erickson
Publisher : CRC Press
Page : 280 pages
File Size : 34,84 MB
Release : 2009-09-16
Category : Computers
ISBN : 1439816174
Methods Used to Solve Discrete Math ProblemsInteresting examples highlight the interdisciplinary nature of this areaPearls of Discrete Mathematics presents methods for solving counting problems and other types of problems that involve discrete structures. Through intriguing examples, problems, theorems, and proofs, the book illustrates the relation
Author : Ulrich Knauer
Publisher : Walter de Gruyter GmbH & Co KG
Page : 349 pages
File Size : 27,69 MB
Release : 2019-10-08
Category : Mathematics
ISBN : 3110617366
Graph models are extremely useful for a large number of applications as they play an important role as structuring tools. They allow to model net structures – like roads, computers, telephones, social networks – instances of abstract data structures – like lists, stacks, trees – and functional or object oriented programming. The focus of this highly self-contained book is on homomorphisms and endomorphisms, matrices and eigenvalues.
Author : Judea Pearl
Publisher : Basic Books
Page : 432 pages
File Size : 11,62 MB
Release : 2018-05-15
Category : Computers
ISBN : 0465097618
A Turing Award-winning computer scientist and statistician shows how understanding causality has revolutionized science and will revolutionize artificial intelligence "Correlation is not causation." This mantra, chanted by scientists for more than a century, has led to a virtual prohibition on causal talk. Today, that taboo is dead. The causal revolution, instigated by Judea Pearl and his colleagues, has cut through a century of confusion and established causality -- the study of cause and effect -- on a firm scientific basis. His work explains how we can know easy things, like whether it was rain or a sprinkler that made a sidewalk wet; and how to answer hard questions, like whether a drug cured an illness. Pearl's work enables us to know not just whether one thing causes another: it lets us explore the world that is and the worlds that could have been. It shows us the essence of human thought and key to artificial intelligence. Anyone who wants to understand either needs The Book of Why.
Author : Judea Pearl
Publisher : Cambridge University Press
Page : 487 pages
File Size : 33,79 MB
Release : 2009-09-14
Category : Computers
ISBN : 052189560X
Causality offers the first comprehensive coverage of causal analysis in many sciences, including recent advances using graphical methods. Pearl presents a unified account of the probabilistic, manipulative, counterfactual and structural approaches to causation, and devises simple mathematical tools for analyzing the relationships between causal connections, statistical associations, actions and observations. The book will open the way for including causal analysis in the standard curriculum of statistics, artificial intelligence ...
Author : Russell Merris
Publisher : John Wiley & Sons
Page : 258 pages
File Size : 45,55 MB
Release : 2011-09-20
Category : Mathematics
ISBN : 1118031296
A lively invitation to the flavor, elegance, and power of graph theory This mathematically rigorous introduction is tempered and enlivened by numerous illustrations, revealing examples, seductive applications, and historical references. An award-winning teacher, Russ Merris has crafted a book designed to attract and engage through its spirited exposition, a rich assortment of well-chosen exercises, and a selection of topics that emphasizes the kinds of things that can be manipulated, counted, and pictured. Intended neither to be a comprehensive overview nor an encyclopedic reference, this focused treatment goes deeply enough into a sufficiently wide variety of topics to illustrate the flavor, elegance, and power of graph theory. Another unique feature of the book is its user-friendly modular format. Following a basic foundation in Chapters 1-3, the remainder of the book is organized into four strands that can be explored independently of each other. These strands center, respectively, around matching theory; planar graphs and hamiltonian cycles; topics involving chordal graphs and oriented graphs that naturally emerge from recent developments in the theory of graphic sequences; and an edge coloring strand that embraces both Ramsey theory and a self-contained introduction to Pólya's enumeration of nonisomorphic graphs. In the edge coloring strand, the reader is presumed to be familiar with the disjoint cycle factorization of a permutation. Otherwise, all prerequisites for the book can be found in a standard sophomore course in linear algebra. The independence of strands also makes Graph Theory an excellent resource for mathematicians who require access to specific topics without wanting to read an entire book on the subject.
Author : David Mumford
Publisher : Cambridge University Press
Page : 422 pages
File Size : 29,69 MB
Release : 2002-04-25
Category : Computers
ISBN : 9780521352536
Felix Klein, one of the great nineteenth-century geometers, rediscovered in mathematics an idea from Eastern philosophy: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple co-existing symmetries. For a century these ideas barely existed outside the imagination of mathematicians. However in the 1980s the authors embarked on the first computer exploration of Klein's vision, and in doing so found many further extraordinary images. Join the authors on the path from basic mathematical ideas to the simple algorithms that create the delicate fractal filigrees, most of which have never appeared in print before. Beginners can follow the step-by-step instructions for writing programs that generate the images. Others can see how the images relate to ideas at the forefront of research.