Geodetic line, middle and total graphs

Jerzy Topp

Mathematica Slovaca (1990)

  • Volume: 40, Issue: 1, page 3-9
  • ISSN: 0232-0525

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Topp, Jerzy. "Geodetic line, middle and total graphs." Mathematica Slovaca 40.1 (1990): 3-9. <http://eudml.org/doc/34296>.

@article{Topp1990,
author = {Topp, Jerzy},
journal = {Mathematica Slovaca},
keywords = {geodetic; line graph; middle graph; total graph},
language = {eng},
number = {1},
pages = {3-9},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Geodetic line, middle and total graphs},
url = {http://eudml.org/doc/34296},
volume = {40},
year = {1990},
}

TY - JOUR
AU - Topp, Jerzy
TI - Geodetic line, middle and total graphs
JO - Mathematica Slovaca
PY - 1990
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 40
IS - 1
SP - 3
EP - 9
LA - eng
KW - geodetic; line graph; middle graph; total graph
UR - http://eudml.org/doc/34296
ER -

References

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  1. AKIYAMA J., HAMADA T., YOSHIMURA I., Miscellaneous properties of middle graphs, TRU Math., 10, 1974, 41-53. (1974) MR0412028
  2. AKIYAMA J., HAMADA T., YOSHIMURA I., Graph equations for line graphs, total graphs and middle graphs, TRU Math., 12, 1976, 31-34. (1976) MR0460181
  3. BEHZAD M., CHARTRAND G., LESNIAK-FOSTER I., Graphs and Digraphs, Wadsworth, Belmont 1979. (1979) 
  4. BEINEKE L. W., Characterizations of derived graphs, J. Comb. Theory, 9, 1970, 129-135. (1970) Zbl0202.55702MR0262097
  5. BOSÁK J., Geodetic graphs, In: Colloquia Math. Soc. J. Bolyai, 18, Keszthely, 1976, 151-172. (1976) MR0519262
  6. BOSÁK J., KOTZIG A., ZNÁM Š., Strongly geodetic graphs, J. Comb. Theory, 5, 1968, 170-176. (1968) Zbl0165.26602MR0228365
  7. CVETKOVIĆ D. M., SIMIĆ S. K., Graph equations for line graphs and total graphs, Discrete Math., 13, 1975, 315-320. (1975) Zbl0315.05126MR0404053
  8. HAMADA T., YOSHIMURA I., Traversability and connectivity of the middle graph of a graph, Discrete Math., 14, 1976, 247-255. (1976) Zbl0319.05122MR0414435
  9. ORE O., Theory of Graphs, Amer. Math. Soc. Colloq. Publ., 38, 1962. (1962) Zbl0105.35401MR0150753
  10. PLESNÍK J., Note on diametrically critical graphs, In: Recent Advances in Graph Theory. Academia, Prague 1975, 455-465. (1975) Zbl0326.05118MR0384618
  11. PLESNÍK J., A construction of geodetic graphs based on pulling subgraphs homeomorphic to complete graphs, J. Comb. Theory Ser. B36, 1984, 284-297. (1984) Zbl0527.05043MR0753606

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