Jun 15
  1. Discrete Mathematics: Combinatorics,Graph Theory And Game Theory



Combinatorics is an honest subject. No adèles, no sigma-algebras. You count balls in a box, and you either have the right number or you haven't. You get the feeling that the result you have discovered is forever, because it's concrete. Other branches of mathematics are not so clear-cut. Functional analysis of infinite-dimensional spaces is never fully convincing; you don't get a feeling of having done an honest day's work. Don't get the wrong idea – combinatorics is not just putting balls into boxes. Counting finite sets can be a highbrow undertaking, with sophisticated techniques. - Gian-Carlo Rota


Combinatorial Enumeration Tero Harju University of Turku 1994 – 2012

Graph Theory David Glickenstien University of Arizona Spring 2008

Graph Theory Swastik Kopparty Rutgers University Fall 2011

Graph Theory Reinhard Diestel Fourth electronic edition  2010

Algebra, Coding Theory and Cryptography Lecture Notes Lior Silberman University of British Columbia

Graph Theory with Applications by J.A. Bondy and U.S.R. Murty (PG) This is the original 1976 first edition of the author's book, which has since been dramatically rewritten and expanded for the second edition, published by Springer Verlag and simply titled Graph Theory. For a long time,this was the textbook of choice for students in various disciplines learning graph theory for the first time due to it's scholarly writing and the balanced combination of theory and many applications. The new edition is geared more toward pure mathematics and many of the results are shunted to the exercises. It's a very good book,but in the revision, a lot of the things people liked about the original was lost. As a result,there's still a substantial demand for the original,despite it being outdated in many ways.

Graph Theory Christopher Hanusa Queens College City University of New York  Spring 2012

Graph Theory Bruce Richter Term: Spring 2012 University of Waterloo August 3, 2012

Number Theory and Cryptography Spring 2013 Matt Kerr Washington University Math 4351 Sr.Louis

GRAPH THEORY Tero Harju  University of Turku FIN-20014 Turku, Finland 1994 – 2012

Graph Theory Oliver Riordan Oxford University 2014 

Graph Theory Bogdan Oporowski  Louisiana State University May 2, 2012

Graph Theory: Penn State Lecture Notes Version 1.4.1 Christopher Grin « 2011-2012  With Contributions By: Suraj Shekhar


Combinatorics and Discrete Mathematics Course Materials Paul Terwilliger University of Wisconsin at Madison Fall 2012

Finite Geometry Simeon Ball and Zsuzsa Weiner 5  Universitat Politècnica de Catalunya · BarcelonaTech September 2011

Graph Theory David Glickenstien University of Arizona Spring 2012

Combinatorics William Faris University of Arizona Course Materials Math 447-547:

Combinatorics  Jacob Lurie Harvard University 2012

Seminar: Lectures on Cherednik Algebras Pavel Etingof MIT 18735 Fall 2009
individual lecture notes

COMBINATORICS OF POLYTOPES Alexander Barvinok University of Michigan MATH 669

Alexander Barvinok University of Michigan 

Combinatorics Through Guided Discovery 1 Kenneth P. Bogart Darthmouth University November 6, 2004

Analytic Combinatorics in Several Variables Robin Pemantle  University of Pennsylvania USA

Combinatorics Math 636  Christopher Hanusa Queens College CUNY  Fall 2012   

Combinatorial  Mathematics  Jingjin Yu University of Illinois Urbana-Champlaign  Fall 2008 


Combinatorics and Graph Theory I  Problems and Solutions. May 17, 2006 FELIX LAZEBNIK University of Delaware  

Combinatorics and Graph Theory II  Problems and Solutions.2006 FELIX LAZEBNIK University of Delaware  


 Foundations of Combinatorics with Applications by Edward A. Bender and S. Gill Williamson 

Combinatorics Richard Barraclugh University of Burmingham

Topics in Combinatorics Spring 2003 Fan Chung Graham Math 262B USCD Homepage 

Probabilistic Combinatorics Colin Mcdiarmid University of Oxford 2015  

Algebraic Combinatorics Jeremy L. Martin Kansas State University December 3,

 Combinatorics  Paul Terwilliiger University of Wisconsin Madison Math 475 

Arithmetic Combinatorics  TERENCE TAO UCLA 

Sumsets and structure Imre Z. Ruzsa Alfred Renyi Institute of Mathematics 2011


Combinatorics Peter J. Cameron University of London 2012

Discrete Mathematics A. K. Lal Indian Institute of Technology September 26, 2012 

Discrete Mathematics Marcel B. Finan Arkansas Tech University 

Discrete Mathematics: Problems and Solutions Marcel B. Finan Arkansas Tech


Discrete Mathematics László Babai University of Chicago Autumn 2012

Discrete Mathematics by WWL Chen 

Discrete Mathematics and Probability Theory Anant Sahai University of California At Berkeley Spring 2015

Discrete Mathematics Lecture Notes Incomplete Preliminary Version Laszlo Babai University of Chicago June 22, 2003

Discrete Mathematics Micheal Filaseta University of South Carolina Fall 2011 

Discrete Mathematics J. Saxl University of Cambridge Michælmas 1995

Discrete Mathematics Lecture Notes  L. Lovasz and K. Vesztergombi Yale University, Spring 1999

Discrete Math Lecture Notes by Zeph Grunschlag Columbia University

 Finite Math Christopher Aubuchon Johnson State College Spring 2013

generatingfunctionology Herbert S. Wilf  University of Pennsylvania  Copyright 1990 and
1994 by Academic Press, Inc.

Game Theory, Alive Yuval Peres with contributions by David B. Wilson University of California Berkeley August 8, 2010

The Kemeny Lectures on Finite Mathematics TSILB1 John G. Kemeny; Anne Huggins. Additional work by: Peter Doyle. Dartmouth University Version 0.11, 22 October 2001

Finite Mathematics John G. Kemeny, J. Laurie Snell, and Gerald L. Thompson
Darthmouth University 

Introduction to Discrete Structures Farshid Hajir University of  Massachusetts, Amherst Spring 2013

Matroid theory Joseph E. Bonin George Washington University

Discrete Structures in Five Chapters  Amin Witno Philadelphia University

Combinatorial Optimization Richard Barraclugh University of Burmingham


Game Theory Thomas S. Ferguson UCLA Mathematics 167 Spring Quarter 2005

Sieve Methods, Kevin Ford University of Wisconsin Urbana Champlain Spring 2011 Course 

Game Theory Alive Yuval Peres University of California Berkeley 

Puzzles, Games & Algorithms Robert R. Snapp University of Vermont Fall 2012 Course Materials And Lecture Notes 

Applied Discrete Structures Alan Doerr and Kenneth Levasseur University of Massachusetts Lowell Version 2.0 March 2013

Combinatorics Jacob Fox MIT  Spring 2009

Combinatorics Steven Butler UCLA/Iowa State Universiity

Graph Theory J. Geelen transcribed by: J. Lazovskis University of Waterloo December 6, 2012

Combinatorics Unknown Authorship University of North Dakota Spring 2011


Cryptography and Number Theory Paul Garrett University of Minnesota 2004

Combinatorics Fall 2012–Spring 2013  (based on notes by Victor Bryant) Sarah Whitehouse  University of Sheffield 

Discrete Mathematics James Demmel University of California Berkeley Fall 2007

Discrete Mathematics for Computer Science I Mike Clancy and David Wagner University of California Berkeley Spring 2005

Discrete Mathematics Thomas Baird University of Newfoundland Spring 2011  

Discrete Mathematics Klaus Kaiser University of Houston Online Homepage and Course Materials

Logic and Discrete Math Robert Pless Washington University Fall 2012

Combinatorial Theory: Hyperplane Arrangements MIT Richard Stanley Fall 2004 

Game Theory Thomas S. Ferguson Mathematics Department, UCLA

Discrete Math László Babai University of Chicago  Lecture Transcriptions Originally created by Morgan Sonderegger in 2007. Edited and expanded by Lars Bergstrom in 2008. January 14, 2009

Combinatorics Ian Gouden University of Waterloo 2008 

F1.1UM1 Intermediate Mathematics 1 Herott-Watt University  

Basic Combinatorics Carl G. Wagner The University of Tennessee

An Introduction to Mathematical Methods in Combinatorics Renzo Sprugnoli Dipartimento
di Sistemi e Informatica Viale Morgagni, 65 - Firenze (Italy)
January 18,

 Introduction To Combinatorics Jurgen Bierbrauer November 2001

DISCRETE  THROUGH GUIDED DISCOVERY: Kenneth P. Bogart  Dartmouth College Mary E. Flahive  Oregon State University 2004

One, Two,Skip a Few...99, 100: Inquiry Based Combinatiorics Book DraftT.Kyle Petersen DePaul University 2012

Notes on Combinatorics Peter J. Cameron Queens College of The University of London 

Enumerative Combinatorics Peter J. Cameron Queen Mary College University of London Autumn 2013

Discrete Math Carol Ash University of Illinois Urbana-Champlaign 

Lecture Notes on Game Theory William H. Sandholm December 4 2013

Notes on Discrete Mathematics CS 202 James Aspnes Yale University

Nine Lectures On Random Graphs Joel Spencer New York University 2010 

Discrete Math Jason R Marden University of Colorado Fall 2013 

GRAPH THEORY Keijo Ruohonen Translation by Janne Tamminen, Kung-Chung Lee and Robert P iché 

Finite Math Class Notes Walter Schreiner Christian Brothers University (Tennessee)  

Discrete Mathematics Christopher Cooper McQuarrie University 

Advanced Discrete Mathematics Christopher Cooper McQuarrie University 

Discrete Mathematics lecture notes written by Anton Stefanek Imperial College
from the lectures of Hans Liebeck at Imperial College 2008

 Polyhedral Geometry And Linear Optimization Andreas Paffenholz University of
 Semester 2010