| Title:
|
On the connectivity of skeletons of pseudomanifolds with boundary (English) |
| Author:
|
Ayala, R. |
| Author:
|
Chávez, M. J. |
| Author:
|
Márquez, A. |
| Author:
|
Quintero, A. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
127 |
| Issue:
|
3 |
| Year:
|
2002 |
| Pages:
|
375-384 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
connectivity |
| Keyword:
|
graph |
| Keyword:
|
2-complex |
| Keyword:
|
pseudomanifolds |
| MSC:
|
05C40 |
| MSC:
|
57M20 |
| MSC:
|
57Q05 |
| idZBL:
|
Zbl 1003.05066 |
| idMR:
|
MR1931322 |
| DOI:
|
10.21136/MB.2002.134070 |
| . |
| Date available:
|
2009-09-24T22:02:33Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134070 |
| . |
| Reference:
|
[1] R. Ayala, M. J. Chávez, A. Márquez, A. Quintero: On the connectivity of infinite graphs and 2-complexes.Discrete Math. 194 (1999), 13–37. MR 1654960 |
| Reference:
|
[2] D. Barnette: Decompositions of homology manifolds and their graphs.Israel J. Math. 41 (1982), 203–212. Zbl 0498.57004, MR 0657856, 10.1007/BF02771721 |
| Reference:
|
[3] D. König: Theory of Finite and Infinite Graphs.Birkhäuser, 1990. MR 1035708 |
| Reference:
|
[4] D. G. Larman, P. Mani: On the existence of certain configuration within graphs and the 1-skeletons of polytopes.Proc. London Math. Soc. 20 (1970), 144–60. MR 0263687 |
| Reference:
|
[5] E. Y. Woon: $n$-connectedness in pure 2-complexes.Israel J. Math. 52 (1985), 177–192. Zbl 0593.05046, MR 0815808, 10.1007/BF02786514 |
| . |
