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Bivariate Domination Polynomial

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 نشر من قبل James Preen
 تاريخ النشر 2017
  مجال البحث
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We introduce a new bivariate polynomial ${displaystyle J(G; x,y):=sumlimits_{W in V(G)} x^{|W|}y^{|N(W)|}}$ which contains the standard domination polynomial of the graph $G$ in two different ways. We build methods for efficient calculation of this polynomial and prove that there are still some families of graphs which have the same bivariate polynomial.

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