Coloring the Square of Planar Graphs Without 4-Cycles or 5-Cycles

The famous Four Color Theorem states that any planar graph can be properly colored using at most four colors. However, if we want to properly color the square of a planar graph (or alternatively, color the graph using distinct colors on vertices at distance up to two from each other), we will always...

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Bibliographic Details
Main Author: Jaeger, Robert
Format: Others
Published: VCU Scholars Compass 2015
Subjects:
Online Access:http://scholarscompass.vcu.edu/etd/3816
http://scholarscompass.vcu.edu/cgi/viewcontent.cgi?article=4820&context=etd