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Introduction

  • Ping Zhang
Chapter
  • 553 Downloads
Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Abstract

One of the most popular areas of study in graph theory is colorings. This topic can be traced back to the origin of the Four Color Problem and whether it is possible to color the regions of every map with four or fewer colors in such a way that every two regions having a common boundary are assigned different colors. Later it was seen that this problem could be looked at as a problem in graph theory—whether it is always possible to color the regions of every planar graph (embedded in the plane) so that every two adjacent regions are colored differently. It became known that the Four Color Problem could be solved if it could be solved for all bridgeless cubic planar graphs.

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Copyright information

© Ping Zhang 2015

Authors and Affiliations

  • Ping Zhang
    • 1
  1. 1.Department of MathematicsWestern Michigan UniversityKalamazooUSA

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