"Combinatorial Nullstellensatz is a novel theorem in algebra introduced by Noga Alon to tackle combinatorial problems in diverse areas of mathematics. This book focuses on the applications of this theorem to graph colouring"--

Combinatorial Nullstellensatz (CRC Focus)

Science & Math

Balakrishnan, R.

Zhu, Xuding

Mathematics

Chapman and Hall/CRC

A Textbook of Modern Algebra

Ramabhadran, N.

Vikas Pub

Conveying ideas in a user-friendly style, this book has been designed for a course in Applied Algebra. The book covers graph algorithms, basic algebraic structures, coding theory and cryptography. It will be most suited for senior undergraduates and beginning graduate students in mathematics and computer science as also to individuals who want to have a knowledge of the below-mentioned topics. <ul>
<li>Provides a complete discussion on several graph algorithms such as Prims algorithm and Kruskals algorithm for sending a minimum cost spanning tree in a weighted graph, Dijkstras single source shortest path algorithm, Floyds algorithm, Warshalls algorithm, Kuhn-Munkres Algorithm. In addition to DFS and BFS search, several applications of DFS and BFS are also discussed.</li> <li>Presents a good introduction to the basic algebraic structures, namely, matrices, groups, rings, fields including finite fields as also a discussion on vector spaces and linear equations and their solutions.</li> <li>Provides an introduction to linear codes including cyclic codes.</li>
</ul>
Presents a description of private key cryptosystems as also a discussion on public key cryptosystems such as RSA, ElGamal and Miller-Rabin. Finally, the Agrawal-KayalSaxena algorithm (AKS Algorithm) for testing if a given positive integer is prime or not in polynomial time is presented- the first time in a textbook. Two distinguished features of the book are: <ul>
<li>Illustrative examples have been presented throughout the book to make the readers appreciate the concepts described.</li> <li>Answers to all even-numbered exercises in all the chapters are given. 
</li>
</ul>

Discrete Mathematics: Graph Algorithms, Algebraic Structures, Coding Theory, and Cryptography

Sridharan, Sriraman

Discrete Mathematics has permeated the whole of mathematics so much so it has now come to be taught even at the high school level. This book presents the basics of Discrete Mathematics and its applications to day-to-day problems in several areas. This book is intended for undergraduate students of Computer Science, Mathematics and Engineering. A number of examples have been given to enhance the understanding of concepts. The programming languages used are Pascal and C.

Foundations of Discrete Mathematics with Algorithms and Programming

Computers & Technology

Computer Science

In its second edition, expanded with new chapters on domination in graphs and on the spectral properties of graphs, this book offers a solid background in the basics of graph theory. Introduces such topics as Dirac's theorem on k-connected graphs and more.

A Textbook of Graph Theory (Universitext)

Ranganathan, K.

Springer

This is the third edition of the comprehensive textbook of otorhinolaryngology and head & neck surgery, covering theoretical, clinical and practical aspects of the subject including the recent advances, which has been thoroughly revised and completely upd

Textbook Of Ear, Nose, Throat And Head & Neck Surgery Clinical And Practical, 3E (Pb 2014)

Medical Books

Hazarika, P.

Medicine

CBS Publishers & Distributors Pvt Ltd, India

This is the thoroughly rewitten and revised edition of a popular and comprehensive textbook in otorhinolaryngology and head-neck surgery that covers theoretical, clinical and practical aspects of the subject, including recent advances. The text has been improved and modified keeping in mind student feedback.In this edition new information has been added based on the development in the speciality to keep the book up-to-date and contemporary. It is a unique textbook written in a simple, lucid manner and is a must for every undergraduate medical student who seeks to acquire knowledge in all essential aspects of this subject. The postgraduate students will also find this book useful as a comprehensive preparatory manual for their examinations. The book is full of colour illustrations and clinical material in an atlas form that will be useful for both the students as well as the practitioners. It also covers basic aspects of allied subjects like anaesthesia, radiotherapy, chemotherapy, etc.

Textbook of Ear, Nose, Throat and Head-Neck Surgery: Clinical and Practical

Nayak, D.R.

Siragukul Vanam (Tamil Edition)

Literature & Fiction

Bharathi Puthakalayam

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