Algorithmic Graph Theory and Perfect Graphs by Martin Charles Golumbic

By Martin Charles Golumbic

Algorithmic Graph conception and ideal Graphs, first released in 1980, has develop into the vintage advent to the sphere. This new Annals variation maintains to show the message that intersection graph types are an important and critical device for fixing real-world difficulties. It continues to be a stepping stone from which the reader may perhaps embark on one of the attention-grabbing learn trails.

The previous 20 years were an amazingly fruitful interval of analysis in algorithmic graph concept and based households of graphs. specifically vital were the idea and purposes of recent intersection graph types comparable to generalizations of permutation graphs and period graphs. those have bring about new households of excellent graphs and lots of algorithmic effects. those are surveyed within the new Epilogue bankruptcy during this moment variation.

· new version of the "Classic" ebook at the topic
· amazing creation to a wealthy examine area
· best writer within the box of algorithmic graph theory
· superbly written for the hot mathematician or laptop scientist
· complete therapy

Show description

Read Online or Download Algorithmic Graph Theory and Perfect Graphs PDF

Best graph theory books

How to Display Data

Powerful info presentation is an important ability for anyone wishing to exhibit or put up study effects, but if performed badly, it may express a deceptive or complicated message. This new addition to the preferred “How to” sequence explains how you can current info in magazine articles, supply purposes or study shows basically, competently and logically, expanding the probabilities of profitable book.

Matroid theory

The research of matroids is a department of discrete arithmetic with easy hyperlinks to graphs, lattices, codes, transversals, and projective geometries. Matroids are of primary value in combinatorial optimization and their functions expand into electric engineering and statics. This incisive survey of matroid thought falls into elements: the 1st half offers a entire advent to the fundamentals of matroid concept whereas the second one treats extra complicated issues.

Graph Colouring and the Probabilistic Method

During the last decade, many significant advances were made within the box of graph coloring through the probabilistic approach. This monograph, via of the easiest at the subject, presents an available and unified therapy of those effects, utilizing instruments akin to the Lovasz neighborhood Lemma and Talagrand's focus inequality.

Visualization for Computer Security: 5th International Workshop, VizSec 2008, Cambridge, MA, USA, September 15, 2008. Proceedings

This ebook constitutes the refereed lawsuits of the fifth overseas Workshop on Visualization for Cyber safeguard hung on September 15, 2008, in Cambridge, Massachusetts, united states, together with the eleventh overseas Symposium on fresh Advances in Intrusion Detection (RAID). The 18 papers offered during this quantity have been rigorously reviewed and chosen from 27 submissions.

Extra info for Algorithmic Graph Theory and Perfect Graphs

Example text

Wang, D. L. [1976] A note on uniquely intersectable graphs, Studies in Appl. Math. 55, 361-363. Wegner, G. D. thesis, Göttingen. CHAPTER 2 The Design of Efficient Algorithms 1. The Complexity of Computer Algorithms With the advent of the high-speed electronic computer, new branches of applied mathematics have sprouted forth. One area that has enjoyed a most rapid growth in the past decade is the complexity analysis of computer algorithms. At one level, we may wish to compare the relative efficiencies of procedures which solve the same problem.

19th IEEE Annu. Symp. on Foundations of Computer Science, Ann Arbor, Michigan, 16-18 October, pp. 231-245. Galil, Zvi, and Naamad, Amnon [1979] Network flow and generalized path compression, Proc. 11th Annu. AC M Symp. on Theory of Computing. , and Johnson, David S. " Freeman, San Francisco, California. Goldstein, A. J. , Dept. , Princeton, New Jersey. Goodman, S. , and Hedetniemi, S. T. " McGraw-Hill, New York. Gotleib, Calvin, C , and Gotlieb, Leo R. " Prentice-Hall, Englewood Cliffs, New Jersey.

Ii) => (iii) If F is acyclic, then it has a sink (a vertex of out-degree zero). Call the sink vn. Clearly vn has in-degree n — 1. Deleting vn from the graph, we obtain a smaller acyclic oriented graph, and the conclusion follows by induction. 4. 8. A transitive tournament. (iii) => (iv) By induction, (iv) => (i) Obvious. This theorem provides us with a linear time algorithm for recognizing transitive tournaments. First, calculate the in-degree of each vertex; then, using a Boolean vector, verify that there are no duplicates among the indegrees.

Download PDF sample

Rated 4.21 of 5 – based on 23 votes