A Novel Method for Counting Independent Sets in a Grid Graph.

Autor: De Ita Luna, Guillermo, Vidal, Mireya Tovar, Loranca, Beatríz Bernabé
Předmět:
Zdroj: International Journal of Combinatorial Optimization Problems & Informatics; Jan-Apr2023, Vol. 14 Issue 1, p11-18, 8p
Abstrakt: The problem of counting independent sets of a graph G is not only mathematically relevant and interesting, but also has many applications in physics, mathematics, and theoretical computer science. In this paper, a novel method for counting independent sets on grid-like structures is presented. It starts by explaining the recurrences used by the method to count independent sets on basic topologies of graphs. The method is extended to process grid-like structures of quadratic faces. The proposal has a lower time complexity than the required on the leading and current method based on the transfer matrix for counting independent sets on grids. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index