Immersions of graphs into projective plane

被引：1

作者：

Ivashkovskii M.A. ^{[1
]}

机构：

[1] Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow

来源：

Moscow University Mathematics Bulletin | 2017年 / 72卷 / 5期

关键词：

D O I：

10.3103/S0027132217050084

中图分类号：

学科分类号：

摘要：

Immersions of graphs into the projective plane are studied. A classification of immersions up to a regular homotopy is obtained. A complete invariant of immersions up to a regular homotopy is constructed. The case of immersions of graphs into any compact surface differing from the projective plane was known previously. © 2017, Allerton Press, Inc.

引用

页码：217 / 220

页数：3

共 50 条

[1] Classification of Immersions of Graphs into a Plane
Permyakov, D. A.
[J]. MOSCOW UNIVERSITY MATHEMATICS BULLETIN, 2008, 63 (05) : 208 - 210
[2] Immersions of the projective plane with one triple point
Goodman, Sue
Kossowski, Marek
[J]. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2009, 27 (04) : 527 - 542
[3] GRAPHS OF PROJECTIVE MAPPINGS OF PROJECTIVE PLANE IN ITSELF
GEISE, G
[J]. MATHEMATISCHE NACHRICHTEN, 1972, 53 (1-6) : 33 - &
[4] Planar graphs on the projective plane
Mohar, B
Robertson, N
Vitray, RP
[J]. DISCRETE MATHEMATICS, 1996, 149 (1-3) : 141 - 157
[5] A note on isometric immersions of the Cayley projective plane and Frenet curves
Tanabe, H
[J]. PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2005, 81 (01) : 12 - 16
[6] ISOTROPIC IMMERSIONS OF THE CAYLEY PROJECTIVE PLANE AND CAYLEY FRENET CURVES
Tanabe, Hiromasa
[J]. KODAI MATHEMATICAL JOURNAL, 2011, 34 (02) : 301 - 316
[7] Proper 1-immersions of graphs triangulating the plane
Korzhik, Vladimir P.
[J]. DISCRETE MATHEMATICS, 2013, 313 (23) : 2673 - 2686
[8] 103 GRAPHS THAT ARE IRREDUCIBLE FOR THE PROJECTIVE PLANE
GLOVER, HH
HUNEKE, JP
WANG, CS
[J]. JOURNAL OF COMBINATORIAL THEORY SERIES B, 1979, 27 (03) : 332 - 370
[9] CUBIC IRREDUCIBLE GRAPHS FOR PROJECTIVE PLANE
GLOVER, HH
HUNEKE, JP
[J]. DISCRETE MATHEMATICS, 1975, 13 (04) : 341 - 355
[10] BOOK EMBEDDING OF GRAPHS ON THE PROJECTIVE PLANE
Ozeki, Kenta
Nakamoto, Atsuhiro
Nozawa, Takayuki
[J]. SIAM JOURNAL ON DISCRETE MATHEMATICS, 2019, 33 (04) : 1801 - 1836

← 1 2 3 4 5 →