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| Author | : Ted Dobson |
| Publisher | : Cambridge University Press |
| Total Pages | : 527 |
| Release | : 2022-05-12 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 1108429068 |
The first full-length book on the theme of symmetry in graphs, a fast-growing topic in algebraic graph theory.
| Author | : Gena Hahn |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 434 |
| Release | : 2013-03-14 |
| Genre | : Mathematics |
| ISBN | : 9401589372 |
The last decade has seen two parallel developments, one in computer science, the other in mathematics, both dealing with the same kind of combinatorial structures: networks with strong symmetry properties or, in graph-theoretical language, vertex-transitive graphs, in particular their prototypical examples, Cayley graphs. In the design of large interconnection networks it was realised that many of the most fre quently used models for such networks are Cayley graphs of various well-known groups. This has spawned a considerable amount of activity in the study of the combinatorial properties of such graphs. A number of symposia and congresses (such as the bi-annual IWIN, starting in 1991) bear witness to the interest of the computer science community in this subject. On the mathematical side, and independently of any interest in applications, progress in group theory has made it possible to make a realistic attempt at a complete description of vertex-transitive graphs. The classification of the finite simple groups has played an important role in this respect.
| Author | : Jose M. Rodriguez |
| Publisher | : MDPI |
| Total Pages | : 340 |
| Release | : 2019-03-14 |
| Genre | : Mathematics |
| ISBN | : 303897658X |
This book contains the successful invited submissions to a Special Issue of Symmetry on the subject of “Graph Theory”. Although symmetry has always played an important role in Graph Theory, in recent years, this role has increased significantly in several branches of this field, including but not limited to Gromov hyperbolic graphs, the metric dimension of graphs, domination theory, and topological indices. This Special Issue includes contributions addressing new results on these topics, both from a theoretical and an applied point of view.
| Author | : Gareth A. Jones |
| Publisher | : Springer Nature |
| Total Pages | : 234 |
| Release | : 2020-01-10 |
| Genre | : Mathematics |
| ISBN | : 3030328082 |
This book consists of a selection of peer-reviewed contributions to the Workshop on Algebraic Graph Theory that took place in Pilsen, Czech Republic in October 2016. Primarily intended for early career researchers, it presents eight self-contained articles on a selection of topics within algebraic combinatorics, ranging from association schemes to symmetries of graphs and isomorphism testing. Algebraic combinatorics is a compelling mathematical discipline based on the powerful interplay of algebraic and combinatorial methods. Algebraic interpretation of combinatorial structures (such as symmetry or regularity) has often led to enlightening discoveries and powerful results, while discrete and combinatorial structures have given rise to new algebraic structures that have found valuable applications. In addition to these original research contributions, the reader will find a survey linking numerous threads in algebraic combinatorics, and an extensive tutorial showcasing the universality of algebraic methods in the study of combinatorial structures.
| Author | : Jenny A. Baglivo |
| Publisher | : Cambridge University Press |
| Total Pages | : 319 |
| Release | : 1983-03-31 |
| Genre | : Mathematics |
| ISBN | : 9780521230438 |
The initial purposes of this 1983 text were to develop mathematical topics relevant to the study of the incidence and symmetry structures of geometrical objects and to expand the reader's geometric intuition. The two fundamental mathematical topics employed in this endeavor are graph theory and the theory of transformation groups. Part I, Incidence, starts with two sections on the basics of graph theory and continues with a variety of specific applications of graph theory. Following this, the text becomes more theoretical; here graph theory is used to study surfaces other than the plane and the sphere. Part II, Symmetry, starts with a section on rigid motions or symmetries of the plane, which is followed by another on the classification of planar patterns. Additionally, an overview of symmetry in three-dimensional space is provided, along with a reconciliation of graph theory and group theory in a study of enumeration problems in geometry.
| Author | : István Hargittai |
| Publisher | : Elsevier |
| Total Pages | : 1068 |
| Release | : 2014-05-23 |
| Genre | : Science |
| ISBN | : 1483149528 |
International Series in Modern Applied Mathematics and Computer Science, Volume 10: Symmetry: Unifying Human Understanding provides a tremendous scope of “symmetry , covering subjects from fractals through court dances to crystallography and literature. This book discusses the limits of perfection, symmetry as an aesthetic factor, extension of the Neumann-Minnigerode-Curie principle, and symmetry of point imperfections in solids. The symmetry rules for chemical reactions, matching and symmetry of graphs, mosaic patterns of H. J. Woods, and bilateral symmetry in insects are also elaborated. This text likewise covers the crystallographic patterns, Milton's mathematical symbol of theodicy, symmetries of soap films, and gapon formalism. This volume is a good source for researchers and specialists concerned with symmetry.
| Author | : Josef Lauri |
| Publisher | : Cambridge University Press |
| Total Pages | : 207 |
| Release | : 2016-06-02 |
| Genre | : Mathematics |
| ISBN | : 1316610446 |
An in-depth coverage of selected areas of graph theory focusing on symmetry properties of graphs, ideal for beginners and specialists.
| Author | : |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2019 |
| Genre | : |
| ISBN | : |
This book contains the successful invited submissions to a Special Issue of Symmetry on the subject of ""Graph Theory"". Although symmetry has always played an important role in Graph Theory, in recent years, this role has increased significantly in several branches of this field, including but not limited to Gromov hyperbolic graphs, the metric dimension of graphs, domination theory, and topological indices. This Special Issue includes contributions addressing new results on these topics, both from a theoretical and an applied point of view.
| Author | : Ted Dobson |
| Publisher | : Cambridge University Press |
| Total Pages | : 528 |
| Release | : 2022-05-12 |
| Genre | : Mathematics |
| ISBN | : 1108643620 |
This is the first full-length book on the major theme of symmetry in graphs. Forming part of algebraic graph theory, this fast-growing field is concerned with the study of highly symmetric graphs, particularly vertex-transitive graphs, and other combinatorial structures, primarily by group-theoretic techniques. In practice the street goes both ways and these investigations shed new light on permutation groups and related algebraic structures. The book assumes a first course in graph theory and group theory but no specialized knowledge of the theory of permutation groups or vertex-transitive graphs. It begins with the basic material before introducing the field's major problems and most active research themes in order to motivate the detailed discussion of individual topics that follows. Featuring many examples and over 450 exercises, it is an essential introduction to the field for graduate students and a valuable addition to any algebraic graph theorist's bookshelf.
| Author | : Lowell W. Beineke |
| Publisher | : Cambridge University Press |
| Total Pages | : 302 |
| Release | : 2004-10-04 |
| Genre | : Mathematics |
| ISBN | : 9780521801973 |
There is no other book with such a wide scope of both areas of algebraic graph theory.
