Title:
|
Geodetic line, middle and total graphs (English) |
Author:
|
Topp, Jerzy |
Language:
|
English |
Journal:
|
Mathematica Slovaca |
ISSN:
|
0139-9918 |
Volume:
|
40 |
Issue:
|
1 |
Year:
|
1990 |
Pages:
|
3-9 |
. |
Category:
|
math |
. |
MSC:
|
05C75 |
idZBL:
|
Zbl 0734.05071 |
idMR:
|
MR1094966 |
. |
Date available:
|
2009-09-25T10:21:33Z |
Last updated:
|
2012-08-01 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136500 |
. |
Reference:
|
[1] AKIYAMA J., HAMADA T., YOSHIMURA I.: Miscellaneous properties of middle graphs.TRU Math., 10, 1974, 41-53. MR 0412028 |
Reference:
|
[2] AKIYAMA J., HAMADA T., YOSHIMURA I.: Graph equations for line graphs, total graphs and middle graphs.TRU Math., 12, 1976, 31-34. MR 0460181 |
Reference:
|
[3] BEHZAD M., CHARTRAND G., LESNIAK-FOSTER I.: Graphs and Digraphs.Wadsworth, Belmont 1979. |
Reference:
|
[4] BEINEKE L. W.: Characterizations of derived graphs.J. Comb. Theory, 9, 1970, 129-135. Zbl 0202.55702, MR 0262097 |
Reference:
|
[5] BOSÁK J.: Geodetic graphs.In: Colloquia Math. Soc. J. Bolyai, 18, Keszthely, 1976, 151-172. MR 0519262 |
Reference:
|
[6] BOSÁK J., KOTZIG A., ZNÁM Š.: Strongly geodetic graphs.J. Comb. Theory, 5, 1968, 170-176. Zbl 0165.26602, MR 0228365 |
Reference:
|
[7] CVETKOVIĆ D. M., SIMIĆ S. K.: Graph equations for line graphs and total graphs.Discrete Math., 13, 1975, 315-320. Zbl 0315.05126, MR 0404053 |
Reference:
|
[8] HAMADA T., YOSHIMURA I.: Traversability and connectivity of the middle graph of a graph.Discrete Math., 14, 1976, 247-255. Zbl 0319.05122, MR 0414435 |
Reference:
|
[9] ORE O.: Theory of Graphs.Amer. Math. Soc. Colloq. Publ., 38, 1962. Zbl 0105.35401, MR 0150753 |
Reference:
|
[10] PLESNÍK J.: Note on diametrically critical graphs.In: Recent Advances in Graph Theory. Academia, Prague 1975, 455-465. Zbl 0326.05118, MR 0384618 |
Reference:
|
[11] PLESNÍK J.: A construction of geodetic graphs based on pulling subgraphs homeomorphic to complete graphs.J. Comb. Theory Ser. B36, 1984, 284-297. Zbl 0527.05043, MR 0753606 |
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