Intro to Domination Polynomials Part 1/4
This video introduces domination polynomials with examples included, and covers the basic properties of domination polynomials. The domination polynomial of a graph G, written as D(G, x) is the polynomial with k-degree coefficient equal to the cardinality of the set of dominating sets with k vertices in graph G. That is, the coefficient of the k-th degree term is the number of dominating sets with k vertices in graph G. Several properties of domination polynomials can also be defined and examined, such as the multiplicativity of domination polynomials over connected components of a graph.
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For more information, see these links:
https://www.researchgate.net/publicat...
https://mathworld.wolfram.com/Dominat...
http://psasir.upm.edu.my/id/eprint/7250/
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