The Integral Trees

The Integral Trees

A culture of evolved humans inhabits a doughnut-shaped gas tube that rotates around a neutron star.

Author: Larry Niven

Publisher:

ISBN: 0345312708

Category: Neutron stars

Page: 260

View: 430

A culture of evolved humans inhabits a doughnut-shaped gas tube that rotates around a neutron star.
Categories: Neutron stars

Combinatorial Image Analysis

Combinatorial Image Analysis

Integral Trees: Subtree Depth and Diameter Walter G. Kropatsch1, Yll Haxhimusa1, and Zygmunt Pizlo2 1,⋆ Vienna University of Technology, ... Integral features capture important properties of these regions and the associated trees.

Author: Reinhard Klette

Publisher: Springer Science & Business Media

ISBN: 9783540239420

Category: Computers

Page: 771

View: 253

This volume presents the proceedings of the 10th International Workshop on Combinatorial Image Analysis, held December 1–3, 2004, in Auckland, New Zealand. Prior meetings took place in Paris (France, 1991), Ube (Japan, 1992), Washington DC (USA, 1994), Lyon (France, 1995), Hiroshima (Japan, 1997), Madras (India, 1999), Caen (France, 2000), Philadelphia (USA, 2001), and - lermo (Italy, 2003). For this workshop we received 86 submitted papers from 23 countries. Each paper was evaluated by at least two independent referees. We selected 55 papers for the conference. Three invited lectures by Vladimir Kovalevsky (Berlin), Akira Nakamura (Hiroshima), and Maurice Nivat (Paris) completed the program. Conference papers are presented in this volume under the following topical part titles: discrete tomography (3 papers), combinatorics and computational models (6), combinatorial algorithms (6), combinatorial mathematics (4), d- ital topology (7), digital geometry (7), approximation of digital sets by curves and surfaces (5), algebraic approaches (5), fuzzy image analysis (2), image s- mentation (6), and matching and recognition (7). These subjects are dealt with in the context of digital image analysis or computer vision.
Categories: Computers

Discrete Geometry Combinatorics and Graph Theory

Discrete Geometry  Combinatorics and Graph Theory

M. Belii Math 10 (2003) 9–15 Li, X.L., Lin, G.N.: On Trees with Integer Eigenvalues. Kexue Tongbao (Chinese Science Bulletin) 32 (11) (1987) 813–816 (in Chinese), or On Integral Trees Problems. Kexue Tongbao (English Ed.) 33 (10) (1988) ...

Author: Jin Akiyama

Publisher: Springer

ISBN: 9783540706663

Category: Computers

Page: 289

View: 131

This book constitutes the thoroughly refereed post-proceedings of the 7th China-Japan Conference on Discrete Geometry, Combinatorics and Graph Theory, CJCDGCGT 2005, held in Tianjin, China, as well as in Xi'an, China, in November 2005. The 30 revised full papers address all current issues in discrete algorithmic geometry, combinatorics and graph theory.
Categories: Computers

Benchmarks Revisited 1983 1986

Benchmarks Revisited 1983 1986

The Integral Trees fully makes up for a certain modichohum of laurel-resting that had crept into his work meanwhile; it zaps right along, combining expert action-plotting with a steady proliferation of science-borne extrapolation.

Author: Algis Budrys

Publisher: Lulu.com

ISBN: 9781291436044

Category: Science fiction

Page: 268

View: 146

Consists of book reviews and essays written for The magazine of fantasy and science fiction.
Categories: Science fiction

Spectral Generalizations of Line Graphs

Spectral Generalizations of Line Graphs

It is worth mentioning that problem ( a ) is unsolved even for trees : the known results concern integral trees of diameter less than 11. Concerning ( b ) , observe that the family of integral graphs is closed under the NEPS operation ...

Author: Dragoš Cvetkovic

Publisher: Cambridge University Press

ISBN: 0521836638

Category: Mathematics

Page: 316

View: 387

Introduction -- Forbidden subgraphs -- Root systems -- Regular graphs -- Star complements -- The Maximal exceptional graphs -- Miscellaneous results.
Categories: Mathematics

Graphs and Combinatorics

Graphs and Combinatorics

Every line graph L(K.) is integral. In particular, the octahedron is integral since it is L(K4) . Furthermore the Pertersen graph P is seen to be integral by applying both Corollary 1 and Corollary 6 since P = L(K5) • 3. INTEGRAL TREES ...

Author: R.A. Bari

Publisher: Springer

ISBN: 9783540378099

Category: Mathematics

Page: 362

View: 476

Categories: Mathematics

Recent Results in the Theory of Graph Spectra

Recent Results in the Theory of Graph Spectra

Integral trees have been studied in [WAT2} and (WASC1]. It was proved in [WAT2) that the only integral tree with a complete matching is K2. Also a family of integral trees of diameter 4 has been constructed. All integral trees ...

Author: D.M. Cvetkovic

Publisher: Elsevier

ISBN: 0080867766

Category: Mathematics

Page: 305

View: 265

The purpose of this volume is to review the results in spectral graph theory which have appeared since 1978. The problem of characterizing graphs with least eigenvalue -2 was one of the original problems of spectral graph theory. The techniques used in the investigation of this problem have continued to be useful in other contexts including forbidden subgraph techniques as well as geometric methods involving root systems. In the meantime, the particular problem giving rise to these methods has been solved almost completely. This is indicated in Chapter 1. The study of various combinatorial objects (including distance regular and distance transitive graphs, association schemes, and block designs) have made use of eigenvalue techniques, usually as a method to show the nonexistence of objects with certain parameters. The basic method is to construct a graph which contains the structure of the combinatorial object and then to use the properties of the eigenvalues of the graph. Methods of this type are given in Chapter 2. Several topics have been included in Chapter 3, including the relationships between the spectrum and automorphism group of a graph, the graph isomorphism and the graph reconstruction problem, spectra of random graphs, and the Shannon capacity problem. Some graph polynomials related to the characteristic polynomial are described in Chapter 4. These include the matching, distance, and permanental polynomials. Applications of the theory of graph spectra to Chemistry and other branches of science are described from a mathematical viewpoint in Chapter 5. The last chapter is devoted to the extension of the theory of graph spectra to infinite graphs.
Categories: Mathematics

An Informal History of the Hugos

An Informal History of the Hugos

Larry Niven's The Integral Trees is good oldfashioned science fiction about people living somewhere with weird physics—in a cluster of floating trees and things. I remember enjoying it on a long train journey. It won the Locus Award.

Author: Jo Walton

Publisher: Macmillan

ISBN: 9781466865730

Category: Literary Criticism

Page: 336

View: 246

Engaged, passionate, and consistently entertaining, An Informal History of the Hugos is a book about the renowned science fiction award for the many who enjoyed Jo Walton's previous collection of writing from Tor.com, the Locus Award-winning What Makes This Book So Great. The Hugo Awards, named after pioneer science-fiction publisher Hugo Gernsback, and voted on by members of the World Science Fiction Society, have been presented since 1953. They are widely considered the most prestigious awards in science fiction. Between 2010 and 2013, Jo Walton wrote a series of posts for Tor.com, surveying the Hugo finalists and winners from the award's inception up to the year 2000. Her contention was that each year's full set of finalists generally tells a meaningful story about the state of science fiction at that time. Walton's cheerfully opinionated and vastly well-informed posts provoked valuable conversation among the field's historians. Now these posts, lightly revised, have been gathered into this book, along with a small selection of the comments posted by SF luminaries such as Rich Horton, Gardner Dozois, and David G. Hartwell. "A remarkable guided tour through the field—a kind of nonfiction companion to Among Others. It's very good. It's great."—New York Times bestselling author Cory Doctorow, Boing Boing on What Makes This Book So Great At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.
Categories: Literary Criticism

Spectra of Graphs

Spectra of Graphs

Proof The constant term of the characteristic polynomial of a tree is, up to sign, the number of perfect matchings. ... D For a long time it has been an open question whether there exist integral trees of arbitrarily large diameter.

Author: Andries E. Brouwer

Publisher: Springer Science & Business Media

ISBN: 9781461419396

Category: Mathematics

Page: 250

View: 178

This book gives an elementary treatment of the basic material about graph spectra, both for ordinary, and Laplace and Seidel spectra. The text progresses systematically, by covering standard topics before presenting some new material on trees, strongly regular graphs, two-graphs, association schemes, p-ranks of configurations and similar topics. Exercises at the end of each chapter provide practice and vary from easy yet interesting applications of the treated theory, to little excursions into related topics. Tables, references at the end of the book, an author and subject index enrich the text. Spectra of Graphs is written for researchers, teachers and graduate students interested in graph spectra. The reader is assumed to be familiar with basic linear algebra and eigenvalues, although some more advanced topics in linear algebra, like the Perron-Frobenius theorem and eigenvalue interlacing are included.
Categories: Mathematics

Issues in Mathematical Theory and Modeling 2013 Edition

Issues in Mathematical Theory and Modeling  2013 Edition

Integral. trees. of. odd. diameters. By a News Reporter-Staff News Editor at Journal of Mathematics — Fresh data on ... from the School of Mathematics, “Recently, Csikvari proved the existence of integral trees of any even diameter.

Author:

Publisher: ScholarlyEditions

ISBN: 9781490110158

Category: Mathematics

Page: 416

View: 225

Issues in Mathematical Theory and Modeling / 2013 Edition is a ScholarlyEditions™ book that delivers timely, authoritative, and comprehensive information about Lie Theory. The editors have built Issues in Mathematical Theory and Modeling: 2013 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Lie Theory in this book to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Mathematical Theory and Modeling: 2013 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.
Categories: Mathematics