التفاصيل البيبلوغرافية
العنوان: |
A Heuristic for the Coloring of Planar Graphs. |
المؤلفون: |
De Ita Luna, Guillermo, López-Ramírez, Cristina, De Ita-Varela, Ana E., Gutiérrez-Gómez, Jorge E. |
المصدر: |
ENTCS: Electronic Notes in Theoretical Computer Science; Dec2020, Vol. 354, p91-105, 15p |
مصطلحات موضوعية: |
GRAPH coloring, PLANAR graphs, INDEPENDENT sets, ODD numbers, ALGORITHMS |
مستخلص: |
We present an algorithm for the coloring of planar graphs based on the construction of a maximal independent set S of the input graph. The maximal independent set S must fulfill certain characteristics. For example, S contains the vertex that appears in a maximum number of odd cycles of G. The construction of S considers the internal-face graph of the input graph G in order to select each vertex belonging to a maximal number of odd faces of G. The traversing in pre-order on the internal-face graph G f of the input planar graph G provides us of a strategy for the construction of partial maximal independent sets of critical regions of G f. Thus, the union of these partial maximal independent sets forms a maximal independent set S of G. This allows us to color first the vertices that are crucial for decomposing G in a graph (G − S), which is a polygonal tree, and therefore, is 3-colorable. [ABSTRACT FROM AUTHOR] |
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قاعدة البيانات: |
Supplemental Index |