Geodesic
Estimates for homological dimension of configuration spaces of graphs
Jacek Świątkowski 1
1 Institute of Mathematics Wrocław University Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland and Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-950 Warszawa, Poland
Colloquium Mathematicum, Tome 89 (2001) no. 1, pp. 69-79 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We show that the homological dimension of a configuration space of a graph ${\mit \Gamma }$ is estimated from above by the number $b$ of vertices in ${\mit \Gamma }$ whose valence is greater than $2$. We show that this estimate is optimal for the $n$-point configuration space of ${\mit \Gamma }$ if $n\ge 2b$.
DOI : 10.4064/cm89-1-5
Keywords: homological dimension configuration space graph mit gamma estimated above number vertices mit gamma whose valence greater estimate optimal n point configuration space mit gamma

Jacek Świątkowski  1

1 Institute of Mathematics Wrocław University Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland and Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-950 Warszawa, Poland 
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Jacek Świątkowski. Estimates for homological dimension of
configuration spaces of graphs. Colloquium Mathematicum, Tome 89 (2001) no. 1, pp. 69-79. doi: 10.4064/cm89-1-5

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