An axiomatic approach to metric properties of connected graphs

Ladislav Nebeský

Czechoslovak Mathematical Journal (2000)

  • Volume: 50, Issue: 1, page 3-14
  • ISSN: 0011-4642

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Nebeský, Ladislav. "An axiomatic approach to metric properties of connected graphs." Czechoslovak Mathematical Journal 50.1 (2000): 3-14. <http://eudml.org/doc/30535>.

@article{Nebeský2000,
author = {Nebeský, Ladislav},
journal = {Czechoslovak Mathematical Journal},
keywords = {distance in a graph; geodesics; steps},
language = {eng},
number = {1},
pages = {3-14},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {An axiomatic approach to metric properties of connected graphs},
url = {http://eudml.org/doc/30535},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Nebeský, Ladislav
TI - An axiomatic approach to metric properties of connected graphs
JO - Czechoslovak Mathematical Journal
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 1
SP - 3
EP - 14
LA - eng
KW - distance in a graph; geodesics; steps
UR - http://eudml.org/doc/30535
ER -

References

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  1. Graphs & Digraphs, Prindle, Weber & Schmidt, Boston, 1979. (1979) MR0525578
  2. Graph Theory, Addison-Wesley, Reading (Mass.), 1969. (1969) Zbl0196.27202MR0256911
  3. The Interval Function of a Graph, Mathematisch Centrum. Amsterdam, 1980. (1980) Zbl0446.05039MR0605838
  4. A characterization of the set of all shortest paths in a connected graph, Math. Bohem. 119 (1994), 15–20. (1994) MR1303548
  5. A characterization of the interval function of a connected graph, Czechoslovak Math. J. 44 (119) (1994), 173–178. (1994) MR1257943
  6. Visibilities and sets of shortest paths in a connected graph, Czechoslovak Math. J. 45 (120) (1995), 563–570. (1995) MR1344521
  7. On the set of all shortest paths of a given length in a connected graph, Czechoslovak Math. J. 46 (121) (1996), 155–160. (1996) MR1371697
  8. 10.1023/A:1022404624515, Czechoslovak Math. J. 47 (122) (1997), 149–161. (1997) MR1435613DOI10.1023/A:1022404624515
  9. 10.1023/A:1022435605919, Czechoslovak Math. J. 48 (123) (1998), 701–710. (1998) MR1658245DOI10.1023/A:1022435605919

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