These notes were first used in an introductory course team taught by the authors at Appalachian State University to advanced undergraduates and beginning graduates. The text was written with four pedagogical goals in mind: offer a variety of topics in one course, get to the main themes and tools as efficiently as possible, show the relationships between the different topics, and include recent results to convince students that mathematics is a living discipline.
The second part of the book covers basic material related to linear recurrence relations with application to counting and the asymptotic estimate of the rate of growth of a sequence satisfying a recurrence relation.
The authors of the chapters highlight open questions. The sections of the book include: Combinatorics; Graph Theory; Combinatorial Matrix Theory; Designs, Geometry, Packing and Covering.
On the one hand, this book would be useless as a textbook if certain intuitively appealing, classical combinatorial results were either overlooked or were treated only at a level of abstraction rendering them beyond all recognition.
Introduction Intersection graphs are an interesting topic of algorithmic graph theory : On the one side many well - known graph - theoretic problems which are NP - complete for general graphs become polynomially solvable if they are ...
This book was first published in 2003.
[6] T.A. McKee and F.R. McMorris, “Topics in Intersection Graph Theory”, SIAM, Philadelphia, 1999. A focused monograph on structural properties, presenting definitions, major theorems with proofs and many applications.
... 4th edition. | New Jersey : World Scientific, 2017. | Includes bibliographical references and index. Identifiers ... Singapore To Linda To Mikike, Benny, and Vinnie This page intentionally Published by.
Covers the most important combinatorial structures and techniques. This is a book of problems and solutions which range in difficulty and scope from the elementary/student-oriented to open questions at the...
This IMA Volume in Mathematics and its Applications Applications of Combinatorics and Graph Theory to the Biological and Social Sciences is based on the proceedings of a workshop which was an integral part of the 1987-88 IMA program on ...
This book discusses the origin of graph theory from its humble beginnings in recreational mathematics to its modern setting or modeling communication networks, as is evidenced by the World Wide Web graph used by many Internet search engines ...