Geodesic
Relating different cycle spaces of the same infinite graph
The electronic journal of combinatorics, Tome 18 (2011) no. 1
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Casteels and Richter have shown that if $X$ and $Y$ are distinct compactifications of a locally finite graph $G$ and $f:X\to Y$ is a continuous surjection such that $f$ restricts to a homeomorphism on $G$, then the cycle space $Z_X$ of $X$ is contained in the cycle space $Z_Y$ of $Y$. In this work, we show how to extend a basis for $Z_X$ to a basis of $Z_Y$.
DOI : 10.37236/622
Classification : 05C10, 05C63
Mots-clés : compactification 
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     author = {R. Bruce Richter and Brendan Rooney},
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R. Bruce Richter; Brendan Rooney. Relating different cycle spaces of the same infinite graph. The electronic journal of combinatorics, Tome 18 (2011) no. 1. doi: 10.37236/622

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