Geodesic
Note on independent sets of a graph
Mathematica Bohemica, Tome 119 (1994) no. 4, pp. 385-386.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Let the number of $k$-element sets of independent vertices and edges of a graph $G$ be denoted by $n(G,k)$ and $m(G,k)$, respectively. It is shown that the graphs whose every component is a circuit are the only graphs for which the equality $n(G,k)=m(G,k)$ is satisfied for all values of $k$.
DOI : 10.21136/MB.1994.126117
Classification : 05C38, 05C75
Keywords: independent sets; circuit 
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Ivančo, Jaroslav. Note on independent sets of a graph. Mathematica Bohemica, Tome 119 (1994) no. 4, pp. 385-386. doi : 10.21136/MB.1994.126117. http://geodesic.mathdoc.fr/articles/10.21136/MB.1994.126117/

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