4-regular maps on the Klein bottle

Authors
Ren, H Liu, YP
Citation
H. Ren et Yp. Liu, 4-regular maps on the Klein bottle, J COMB TH B, 82(1), 2001, pp. 118-137
Citations number
33
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF COMBINATORIAL THEORY SERIES B
ISSN journal
00958956 → ACNP
Volume
82
Issue
1
Year of publication
2001
Pages
118 - 137
Database
ISI
SICI code
0095-8956(200103)82:1<118:4MOTKB>2.0.ZU;2-X
Abstract
In this paper the number of rooted near-4-regular maps on the Klein bottle is investigated and formulate with up to four parameters are given. Also th e number of rooted near-4-regular maps with exactly k nonroot-vertex loops on this surface is provided. In particular, explicit formulae for counting (loopless) 4-regular maps on this surface are deduced. (C) 2001 Academic Pr ess.