On the connectivity of skeletons of pseudomanifolds with boundary
R. Ayala; M. J. Chávez; Alberto Márquez; Antonio Quintero
Mathematica Bohemica (2002)
- Volume: 127, Issue: 3, page 375-384
- ISSN: 0862-7959
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topAyala, R., et al. "On the connectivity of skeletons of pseudomanifolds with boundary." Mathematica Bohemica 127.3 (2002): 375-384. <http://eudml.org/doc/249066>.
@article{Ayala2002,
abstract = {In this note we show that $1$-skeletons and $2$-skeletons of $n$-pseudomanifolds with full boundary are $(n+1)$-connected graphs and $n$-connected $2$-complexes, respectively. This generalizes previous results due to Barnette and Woon.},
author = {Ayala, R., Chávez, M. J., Márquez, Alberto, Quintero, Antonio},
journal = {Mathematica Bohemica},
keywords = {connectivity; graph; 2-complex; pseudomanifolds; connectivity; graph; 2-complex; pseudomanifolds},
language = {eng},
number = {3},
pages = {375-384},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the connectivity of skeletons of pseudomanifolds with boundary},
url = {http://eudml.org/doc/249066},
volume = {127},
year = {2002},
}
TY - JOUR
AU - Ayala, R.
AU - Chávez, M. J.
AU - Márquez, Alberto
AU - Quintero, Antonio
TI - On the connectivity of skeletons of pseudomanifolds with boundary
JO - Mathematica Bohemica
PY - 2002
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 127
IS - 3
SP - 375
EP - 384
AB - In this note we show that $1$-skeletons and $2$-skeletons of $n$-pseudomanifolds with full boundary are $(n+1)$-connected graphs and $n$-connected $2$-complexes, respectively. This generalizes previous results due to Barnette and Woon.
LA - eng
KW - connectivity; graph; 2-complex; pseudomanifolds; connectivity; graph; 2-complex; pseudomanifolds
UR - http://eudml.org/doc/249066
ER -
References
top- On the connectivity of infinite graphs and 2-complexes, Discrete Math. 194 (1999), 13–37. (1999) MR1654960
- 10.1007/BF02771721, Israel J. Math. 41 (1982), 203–212. (1982) Zbl0498.57004MR0657856DOI10.1007/BF02771721
- Theory of Finite and Infinite Graphs, Birkhäuser, 1990. (1990) MR1035708
- On the existence of certain configuration within graphs and the 1-skeletons of polytopes, Proc. London Math. Soc. 20 (1970), 144–60. (1970) MR0263687
- 10.1007/BF02786514, Israel J. Math. 52 (1985), 177–192. (1985) Zbl0593.05046MR0815808DOI10.1007/BF02786514
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