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## MATH 412 Graph Theory credit: 3 or 4 Hours.

Examines basic concepts and applications of graph theory, where graph refers to a set of vertices and edges that join some pairs of vertices; topics include subgraphs, connectivity, trees, cycles, vertex and edge coloring, planar graphs and their colorings. Draws applications from computer science, operations research, chemistry, the social sciences, and other branches of mathematics, but emphasis is placed on theoretical aspects of graphs. 3 or 4 undergraduate hours. 3 or 4 graduate hours. 4 hours of credit requires approval of the instructor and department with completion of additional work of substance. Prerequisite: MATH 347 or MATH 348 or equivalent experience or CS 374.

This course satisfies the General Education Criteria for:

Quantitative Reasoning II

## Engineering, College of

http://catalog.illinois.edu/undergraduate/engineer/

**...**TAM **412** , TAM 445 , TAM 470
Engineering Physics
GPA of 2.5: required **Math** and**...**

## Architecture, School of

http://catalog.illinois.edu/undergraduate/faa/academic-units/arch/

**...**the required **MATH** 220 or **MATH** 221 course**...**410 , ARCH 411 , ARCH **412** , ARCH 413 , ARCH**...**

## Mathematics and Computer Science

**...****MATH** **412** , **MATH** 414 , **MATH** 417 , **MATH** 418 , **MATH** 423 , **MATH** 432 , **MATH** 448 , **MATH****...**