Coloring edges and vertices of graphs without short or long cycles
DOI:
https://doi.org/10.11575/cdm.v2i1.61890Abstract
Vertex and edge colorability are two graph problems that are NP-hard in general. We show that both problems remain difficult even for graphs without short cycles, i.e., without cycles of length at most g for any particular value of g. On the contrary, for graphs without long cycles, both problems are shown to be solvable in poynomial time.Downloads
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