Math 3411's Homepage

Math 3411's Homepage

Welcome to the Home Page of Discrete & Combinatorial Mathematics


Why is 4 the minimum number of colors to color the 48 contiguous states so that no two bordering states share the same color?








Table of Contents

Course Information: Syllabus, Assignments, Project, Due Dates, etc

Course Syllabus & Assignment List for the Course
Math 3411 Syllabus Math 3411 Hw page. (This is where you will find the updated hw list and due dates.)


Upcoming Due Dates for Assignments or Project, & Upcoming Exam Dates
Exam 3 : Tue Nov 24; the exam covers Section 5, 6, and 7 - i.e. HW #15, 16, 17, 18.
Review for Exam 3
Hw due December 1: Problems from Shortest Paths Hw due Thur December 3: Problems from Maximum s-t Flow Course Project's report is due by 10am in my office on Dec 4, 2009. Copies of the report's evaluation and presentation's evaluation.  
Course Handouts and Other Pertinent Course Stuff
Handout on Rationale behind Ford-Fulkerson's algorithm. For class on Dec 1. Ford-Fulkerson's Algorithm for Solving Maximum s-t Flow Problem . For class on Dec 1. Handout on Rationale behind Dijkstra's and Floyd-Warshall's algorithms. For class on Nov 17-19. Handout 9: Shortest Di-Path Methods - Dijkstra and Floyd-Warshall . For class on Nov 17-19. Handout 8: Constructing Euler Tours in Eulerian Graphs . For class on Nov 12.
Handout 7: Greedy or Kruskal's Algorithm for solving MCST . For class on Nov 12. Handout 6; applications of MCST . For class on Nov 12. Handout 5; Fundamentals of Graph Theory. For class on Nov 5 - 10. Handout 4; more examples on Counting Process and your HW. For class on Oct 27 and Nov 3, and 5. Handout 3; examples for Counting Process. For class on Oct 27 and Nov 3.
applications of discrete dynamical systems . For class on Oct 22. Example of Solving Recurrence Relations on mathematica For class on Oct 22. (You need this for the hw due on numerical approaches to discrete dynamical systems.) Handout 2. For class on Oct 6-8. Handout 1. For class on Sep 8-10.










Resources on Discrete & Combinatorial Mathematics

The Discrete Mathematics Project DIMACS, Center for Discrete Mathematics and Theoretical Computer Science Network Resource for Operations Research Games on Graph Theory Mathematics Archives on Discrete Mathematics
GIDEN's Headquarters at Northwestern University GIDEN (Graphical Implementation Development Environment for Networks) (software for solving optimization problems on graphs).


Resources on Open Problems

(And who says mathematics is not fun? )
A few open problems in Graph Theory and Combinatorics A few open problems in Topological Graph Theory




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