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Paths and Cycles in Digraphs

 

Marketed By :  LAP LAMBERT Academic Publishing   Sold By :  Kamal Books International  
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  • Product Description
 

This book is intended to investigate a famous conjecture in Graph Theory proposed by Caccetta and Haggkvist in 1978. The book demonstrates the conjecture which has two forms, and the equivalence of the two forms of the conjecture is proven. The conjecture relates the outdegree of the vertices in a digraph along with the existence of a short directed cycle of certain length in that digraph. Here, two main approaches to resolve the conjecture will be described. The first approach is by Hamidoune to prove the conjecture if the outdegree of each vertex in the digraph is at most three. The second approach is by Hoang and Reed to prove the conjecture if the outdegree of each vertex in the digraph is at most five. Both these approaches are investigated in detail and new techniques are developed in order to be used for subsequent research. Occasionally, the techniques used to prove the conjecture if the outdegree of each vertex is five can also be used to prove the conjecture if the outdegree of each vertex is six.

Product Specifications
SKU :COC24727
AuthorSaddam Zaid
LanguageEnglish
BindingPaperback
Number of Pages76
Publishing Year2012-01-08T00:00:00.000
ISBN978-3659184284
Edition1 st
Book TypeMathematics
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-07-28 00:00:00