• формат djv
  • размер 5.09 МБ
  • добавлен 25 сентября 2011 г.
Cvetkovic D.M., Doob M., Sachs H. Spectra of Graphs
N.-Y., Academic Press, 1980. - 368p.

Монография посвящена спектрам собственных значений матрицы смежности графа и их связь со структурой графа, операциями над графом, группами автоморфизмов графа. Рассматривается возможность характеризации графа посредством спектров собственных значений. Предлагаются пути использования этих результатов как в теории графов и комбинаторике, так и в химии и физике.
Для специалистов по теории графов.
Похожие разделы
Смотрите также

Bollob?s B. (ed.) Advances in Graph Theory

  • формат djvu
  • размер 2.16 МБ
  • добавлен 23 октября 2011 г.
Издательство North Holland, 1978, -305 pp. Annals of Discrete Mathematics, Number 3. which received an equally memorable reply. Several of the papers were quickly and efficiently retyped by Mrs. J.E. Scutt. The editorial burden was greatly relieved by the excellent work of Mr. A.G. Thomason. Linear separation of dominating sets in graphs. Regularisable graphs. Hamiltonian decompositions of graphs, directed graphs and hypergraphs. Extremal gr...

Bollob?s B. (ed.) Graph Theory

  • формат djvu
  • размер 1.12 МБ
  • добавлен 23 октября 2011 г.
Издательство North Holland, 1982, -210 pp. Annals of Discrete Mathematics, Number 13. Proceedings of the Conference on Graph Theory, Cambridge. The Cambridge Graph Theory Conference, held at Trinity College from 11 to 13 March 1981, brought together top ranking workers from diverse areas of the subject. The papers presented were by invitation only. This volume contains most of the contributions, suitably refereed and revised. For many years now,...

Brualdi R.A., Ryser H.J. Combinatorial Matrix Theory

  • формат pdf
  • размер 6.18 МБ
  • добавлен 19 марта 2011 г.
Cambridge University Press, 1991. - 380 pages. The book deals with the many connections between matrices, graphs, diagraphs and bipartite graphs. The basic theory of network flows is developed in order to obtain existence theorems for matrices with prescribed combinatorical properties and to obtain various matrix decomposition theorems. Other chapters cover the permanent of a matrix and Latin squares. The book ends by considering algebraic chara...

Capobianco M., Moluzzo J.C. Examples and Counterexamples in Graph Theory

  • формат pdf
  • размер 12.91 МБ
  • добавлен 16 марта 2011 г.
North-Holland, 1978. - 270 pages. It is a real pleasure, indeed an honor, for me to have been invited by Mike Capobianco and John Molluzzo to write an introduction to this imaginative and valuable addition to graph theory. Let me therefore present a few of my thoughts on the current status of graph theory and how their work contributes to the field. Graphs have come a long way since 1736 when Leonhard Euler applied a graph-theoretic argument to...

Chartrand G., Lesniak L. Graphs and Digraphs

  • формат djvu
  • размер 2.67 МБ
  • добавлен 26 октября 2011 г.
Издательство Chapman and Hall/CRC Press, 1996, -429 pp. Graph theory is a major area of combinatorics, and during recent decades, graph theory has developed into a major area of mathematics. In addition to its growing interest and importance as a mathematical subject, it has applications to many fields, including computer science and chemistry. As in the first edition of Graphs & Digraphs (M. Behzad, G. Chartrand, L. Lesniak) and the second...

Cvetkovi? D.M., Rowlinson P., Simi? S. Eigenspaces of Graphs

  • формат djvu
  • размер 1.9 МБ
  • добавлен 22 октября 2011 г.
Издательство Cambridge University Press, 1997, -136 pp. The foundations of spectral graph theory were laid in the fifties and sixties, as a result of the work of a considerable number of mathematicians. Most of the early results are, like this book, concerned with the relation between spectral and structural properties of a graph. The investigation of such a relationship was proposed explicitly by Sachs and Hoffman, although in effect it had alr...

Golumbic M.C. Algorithmic Graph Theory and Perfect Graphs

  • формат djvu
  • размер 2.3 МБ
  • добавлен 24 октября 2011 г.
Издательство Academic Press, 1980, -303 pp. Research in graph theory and its applications has increased considerably in recent years. Typically, the elaboration of new theoretical structures has motivated a search for new algorithms compatible with those structures. Rather than the arduous and systematic study of every new concept definable with a graph, the main task for the mathematician is to eliminate the often arbitrary and cumbersome defin...

Lov?sz L. Combinatorial Problems and Exercises

  • формат djvu
  • размер 3.82 МБ
  • добавлен 04 октября 2011 г.
Издательство North-Holland, 1993, -630 pp. When the publishers of this book asked me to revise and update my problem book for a second edition, I had to decide how much to change, taking into consideration the fast development of the field (but also that the first edition was out of print). Combinatorics has grown a lot in the last decade, especially in those fields interacting with other branches of mathematics, like polyhedral combinatorics,...

Ore O. Theory of graphs

  • формат djvu
  • размер 1.63 МБ
  • добавлен 08 октября 2009 г.
279 c. 1962 г. 1. Fundamental concepts 2. Connectedness 3. Path problems 4. Trees 5. Leaves and lobes 6. The axiom of choice 7. Matching theorems 8. Directed graphs 9. Acyclic graphs 10. Partial order 11. Binary relations and Galois correspondences 12. Connecting paths 13. Dominating sets, covering sets, and independent sets 14. Chromatic graphs 15. Groups and graphs

Wilson R.J. Introduction to Graph Theory, 4th Edition

  • формат pdf
  • размер 13.09 МБ
  • добавлен 31 января 2011 г.
Addison Wesley – 1996, 184 pages, ISBN: 0582249937. Provides a basic foundation on trees, algorithms, Eulerian and Hamilton graphs, planar graphs and coloring, with special reference to four color theorem. Discusses directed graphs and transversal theory and related these areas to Markov chains and network flows.