By Gary Chartrand,Ping Zhang
Beginning with the beginning of the 4 colour challenge in 1852, the sphere of graph colors has constructed into essentially the most well known parts of graph idea. Introducing graph thought with a coloring subject matter, Chromatic Graph Theory explores connections among significant subject matters in graph concept and graph colorations in addition to rising themes.
This self-contained e-book first offers a variety of basics of graph idea that lie outdoors of graph colorations, together with simple terminology and effects, timber and connectivity, Eulerian and Hamiltonian graphs, matchings and factorizations, and graph embeddings. the rest of the textual content offers solely with graph colors. It covers vertex colors and limits for the chromatic quantity, vertex shades of graphs embedded on surfaces, and a number of constrained vertex shades. The authors additionally describe facet hues, monochromatic and rainbow area shades, entire vertex colors, a number of distinguishing vertex and part colors, and lots of distance-related vertex colorings.
With old, utilized, and algorithmic discussions, this article bargains a fantastic creation to 1 of the most well-liked parts of graph theory.
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Additional info for Chromatic Graph Theory (Discrete Mathematics and Its Applications)
Chromatic Graph Theory (Discrete Mathematics and Its Applications) by Gary Chartrand,Ping Zhang