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authorThibaut Horel <thibaut.horel@gmail.com>2015-02-21 16:46:08 -0500
committerThibaut Horel <thibaut.horel@gmail.com>2015-02-21 16:46:08 -0500
commit9d8e4a43206d8c8eb9c976da38b84359df5b81cc (patch)
tree3a0423ac065c3bb8ac1ec8ded06e0f53bb22eb32 /greedy
parentd48aae30c2bc357b3125d9a9a6678f12427731b3 (diff)
downloadnotes-9d8e4a43206d8c8eb9c976da38b84359df5b81cc.tar.gz
Add Schrijver reference for bijective basis exchange
Diffstat (limited to 'greedy')
-rw-r--r--greedy/main.tex3
-rw-r--r--greedy/sub.bib7
2 files changed, 9 insertions, 1 deletions
diff --git a/greedy/main.tex b/greedy/main.tex
index e8fe309..b01a75b 100644
--- a/greedy/main.tex
+++ b/greedy/main.tex
@@ -464,7 +464,8 @@ This cardinality is the \emph{rank} of $M$.
\end{displaymath}
\end{proposition}
-\begin{proof} This is a standard result in matroid theory.
+\begin{proof} This is a standard result in matroid theory. See for example
+ Corollary 39.12a in \cite{schrijver2003}.
\end{proof}
\begin{remark}
diff --git a/greedy/sub.bib b/greedy/sub.bib
index 5adbe9b..e5e6e8c 100644
--- a/greedy/sub.bib
+++ b/greedy/sub.bib
@@ -96,3 +96,10 @@
organization={Association for Computational Linguistics}
}
+@book{schrijver2003,
+ title={Combinatorial optimization: polyhedra and efficiency},
+ author={Schrijver, Alexander},
+ volume={24},
+ year={2003},
+ publisher={Springer}
+}