Title:
|
Graphs which are edge-locally $C_n$ (English) |
Author:
|
Nedela, Roman |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
47 |
Issue:
|
4 |
Year:
|
1997 |
Pages:
|
381-391 |
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Category:
|
math |
. |
MSC:
|
05C10 |
MSC:
|
05C25 |
MSC:
|
05C75 |
idZBL:
|
Zbl 0958.05037 |
idMR:
|
MR1796951 |
. |
Date available:
|
2009-09-25T11:23:58Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/132828 |
. |
Reference:
|
[1] BLASS A.-HARARY F.-MILLER Z.: Which trees are link graphs?.J. Combin. Theory Ser. B 29 (1980), 277-292. Zbl 0448.05028, MR 0602420 |
Reference:
|
[2] BROWN M.-CONNELLY R.: On graphs with a constant link.In: New Directions in The Theory of Graphs (F. Harary, ed.), Academic Press, New York, 1973, pp. 19-51. Zbl 0258.05104, MR 0347685 |
Reference:
|
[3] BULITKO V. K.: O grafach s zadanymi okruzeniami veršin.Trudy Mat. Inst. Steklov. 133 (1973), 78-94. MR 0434882 |
Reference:
|
[4] BUSSET D.: Graphs which are locally a cube.Discrete Math. 46 (1983), 221-229. MR 0716442 |
Reference:
|
[5] CHILTON B. L.-GOULD R.-POLIMENI A. D.: A note on graphs whose neighbourhoods are n-cycles.Geom. Dedicata 3 (1974), 289-294. MR 0357220 |
Reference:
|
[6] COXETER H. S. M.-MOSER W. O.: Generators and Relations for Discrete Groups.(3rd. ed.). Ergeb. Math. Grenzgeb. 14, Springer, Berlin, 1972. Zbl 0239.20040, MR 0349820 |
Reference:
|
[7] FRONČEK D.: Graphs with a given edge neighbourhood.Czechoslovak Math. J. 39(114) (1989), 627-630. Zbl 0724.05063, MR 1017997 |
Reference:
|
[8] GROSS J. L.-TUCKER T. W.: Topological Graph Theory.Wiley-Interscience, New York, 1987. Zbl 0621.05013, MR 0898434 |
Reference:
|
[9] HALL J. I.: A local characterization of the Johnson Scheme.Combinatorica 7 (1987), 77-85. Zbl 0653.05019, MR 0905154 |
Reference:
|
[10] HALL J. I.: Locally Petersen graphs.J. Graph Theory 4 (1980), 173-187. Zbl 0407.05041, MR 0570352 |
Reference:
|
[11] HARARY F.: Graph Theory.Addison-Wesley, Reading, 1969. Zbl 0196.27202, MR 0256911 |
Reference:
|
[12] HELL P.: Graphs with given neighbourhoods I.In: Problémes combinatoires et theorie des graphes, Proc. Coll. Int. C. N. R. S., Orsay, 1976. |
Reference:
|
[13] JENDROL' S.-NEDELA R.-ŠKOVIERA M.: Generating maps from their planar quotients.Math. Slovaca 47 (1997), 155-170. MR 1476864 |
Reference:
|
[14] JONES G. A.-SINGERMAN D.: Theory of maps on orientable surfaces.Proc. London Math. Soc. (3) 37 (1978), 273-307. Zbl 0391.05024, MR 0505721 |
Reference:
|
[15] NEDELA R.-ŠKOVIERA M.: Exponents of orientable maps.Proc. London Math. Soc. 75 (1997), 1-31. Zbl 0877.05012, MR 1444311 |
Reference:
|
[16] PARSONS T. D.-PISANSKI T.: Graphs which are locally paths.In: Combinatorics and Graph Theory (Z. Skupien, M. Borowiecky, eds.), Banach Center Publications Vol. 25, PWN - Pol. Sci. Publ., Warszawa, 1989, pp. 163-175. Zbl 0757.05071, MR 1097642 |
Reference:
|
[17] RONAN M. A.: On the second homotopy group of certain simplicial complexes and some combinatorial applications.Quart. J. Math. Oxford Ser. (2) 32 (1981), 225-233. Zbl 0466.57004, MR 0615196 |
Reference:
|
[18] VINCE A.: Locally homogeneous graphs from groups.J. Graph Theory 5 (1981), 417-422. Zbl 0472.05055, MR 0635704 |
Reference:
|
[19] VOGLER W.: Representing groups by graphs with constant link and hypergraphs.J. Graph Theory 10 (1986), 461-475. Zbl 0632.05034, MR 0867211 |
Reference:
|
[20] WHITE A. T.: Graphs, Groups and Surfaces.North-Holland, Amsterdam, 1984. Zbl 0551.05037, MR 0780555 |
Reference:
|
[21] ZELINKA B.: Edge neighbourhood graphs.Czechoslovak Math. J. 36(111) (1986), 44-47. Zbl 0599.05054, MR 0822865 |
Reference:
|
[22] ZYKOV A. A.: Problem 30.In: Theory of Graphs and Its Applications. Proc. Symp. Smolenice 1963, Praha, 1964, pp. 164-165. |
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