@article{Malajovich_Abreu_Markenzon_2017, title={On the characteristic polynomial of the power of a path.}, volume={36}, url={https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/2395}, abstractNote={<p>We determine a closed-form expression for the fifth characteristic coefficient of the power of a path. To arrive at this result, we establish the number of 4-cycles in the graph by means of their structural properties. The method developed might be applied to other well-structured graph classes in order to count 4-cycles or modified to count cycles of different length.</p>}, number={3}, journal={Proyecciones (Antofagasta, On line)}, author={Malajovich, Beatriz and Abreu, Nair and Markenzon, Lilian}, year={2017}, month={Oct.}, pages={529-543} }