A simple proof of Whitney's Theorem on connectivity in graphs
Mathematica Bohemica, Tome 136 (2011) no. 1, pp. 25-26
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In 1932 Whitney showed that a graph $G$ with order $n\geq 3$ is 2-connected if and only if any two vertices of $G$ are connected by at least two internally-disjoint paths. The above result and its proof have been used in some Graph Theory books, such as in Bondy and Murty's well-known Graph Theory with Applications. In this note we give a much simple proof of Whitney's Theorem.
@article{10_21136_MB_2011_141446,
author = {Zhao, Kewen},
title = {A simple proof of {Whitney's} {Theorem} on connectivity in graphs},
journal = {Mathematica Bohemica},
pages = {25--26},
publisher = {mathdoc},
volume = {136},
number = {1},
year = {2011},
doi = {10.21136/MB.2011.141446},
mrnumber = {2807705},
zbl = {1224.05278},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2011.141446/}
}
TY - JOUR AU - Zhao, Kewen TI - A simple proof of Whitney's Theorem on connectivity in graphs JO - Mathematica Bohemica PY - 2011 SP - 25 EP - 26 VL - 136 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/MB.2011.141446/ DO - 10.21136/MB.2011.141446 LA - en ID - 10_21136_MB_2011_141446 ER -
Zhao, Kewen. A simple proof of Whitney's Theorem on connectivity in graphs. Mathematica Bohemica, Tome 136 (2011) no. 1, pp. 25-26. doi: 10.21136/MB.2011.141446
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