By Martin Charles Golumbic
Algorithmic Graph concept and ideal Graphs, first released in 1980, has turn into the vintage advent to the sector. This new Annals variation maintains to exhibit the message that intersection graph types are an important and significant device for fixing real-world difficulties. It continues to be a stepping stone from which the reader may well embark on one of the interesting examine trails. The previous two decades were an amazingly fruitful interval of study in algorithmic graph thought and based households of graphs. particularly vital were the speculation and purposes of latest intersection graph types similar to generalizations of permutation graphs and period graphs. those have result in new households of excellent graphs and lots of algorithmic effects. those are surveyed within the new Epilogue bankruptcy during this moment version. Â· re-creation of the "Classic" e-book at the subject Â· tremendous advent to a wealthy learn quarter Â· top writer within the box of algorithmic graph conception Â· superbly written for the recent mathematician or computing device scientist Â· complete therapy
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Additional info for Algorithmic Graph Theory and Perfect Graphs
CHAPTER The Design of Efficient Algorithms 1. The Complexity of Computer Algorithms With the advent of the high-speed electronic computer, new branches of apphed 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. At a second level, we can ask whether one problem is intrinsically harder to solve than another problem.
D. thesis, Wayne State Univ. Wang, D. L.  A note on uniquely intersectable graphs, Studies in Appl. Math. 55, 361-363. Wegner, G. D. thesis, Gottingen. CHAPTER The Design of Efficient Algorithms 1. The Complexity of Computer Algorithms With the advent of the high-speed electronic computer, new branches of apphed 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.
For each of the problems in this class Only exponential-time algorithms are known, yet the best lower bounds proven so far are polynomial functions. Furthermore, if a polynomial-time algorithm exists for one of them, then such an algorithm exists for all of them. Included among the NP-complete problems on graphs are finding a Hamiltonian circuit, a minimum coloring, or a maximum clique. Appendix A contains a small collection of NP-complete problems which will suffice for the purposes of this book.