Hidden Edges in Graph Coloring
نویسنده
چکیده
A theory about the implication structure in graph coloring is presented. Discovering hidden relations is one of the most relevant activities in every scientific discipline. The development of mathematical models to study and discover such hidden relations is of the most highest interest. The main contribution presented in this work is a model of hidden relations materialized as implicit edges in graph coloring problems, these relations can be interpreted in physical and chemical models as hidden forces, hidden interactions, hidden reactions or hidden variables. Also, a set of novel results in k-colorability, the four color theorem and Chromatic Polynomials are derived from the application of the concept of implicit edge.
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تاریخ انتشار 2006