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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
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Category: math
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MSC: 05C75
idZBL: Zbl 0734.05071
idMR: MR1094966
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Date available: 2009-09-25T10:21:33Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/136500
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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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