An Index of a Graph with Applications to Knot Theory

Download or read book An Index of a Graph with Applications to Knot Theory written by Kunio Murasugi and published by American Mathematical Soc.. This book was released on 1993 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are three chapters to the memoir. The first defines and develops the notion of the index of a graph. The next chapter presents the general application of the graph index to knot theory. The last section is devoted to particular examples, such as determining the braid index of alternating pretzel links. A second result shows that for an alternating knot with Alexander polynomial having leading coefficient less than 4 in absolute value, the braid index is determined by polynomial invariants.