On graphs with isomorphic, non-isomorphic and connected N 2 -neighbourhoods

Zdeněk Ryjáček

Časopis pro pěstování matematiky (1987)

  • Volume: 112, Issue: 1, page 66-79
  • ISSN: 0528-2195

How to cite

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Ryjáček, Zdeněk. "On graphs with isomorphic, non-isomorphic and connected $N_2$-neighbourhoods." Časopis pro pěstování matematiky 112.1 (1987): 66-79. <http://eudml.org/doc/21661>.

@article{Ryjáček1987,
author = {Ryjáček, Zdeněk},
journal = {Časopis pro pěstování matematiky},
keywords = {neighbourhood of a vertex; local properties of graphs},
language = {eng},
number = {1},
pages = {66-79},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {On graphs with isomorphic, non-isomorphic and connected $N_2$-neighbourhoods},
url = {http://eudml.org/doc/21661},
volume = {112},
year = {1987},
}

TY - JOUR
AU - Ryjáček, Zdeněk
TI - On graphs with isomorphic, non-isomorphic and connected $N_2$-neighbourhoods
JO - Časopis pro pěstování matematiky
PY - 1987
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 112
IS - 1
SP - 66
EP - 79
LA - eng
KW - neighbourhood of a vertex; local properties of graphs
UR - http://eudml.org/doc/21661
ER -

References

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  1. A. A. Zykov, Problem 30, Theory of graphs and its applications, Proc. Symp. Smolenice 1963 (M. Fiedler, ed.), Prague 1964, 164-165. (1963) 
  2. J. Sedláček, Local properties of graphs, Čas. pěst. mat. 106 (1981), 290-298. (1981) Zbl0478.05080MR0629727
  3. V. K. Bulitko, On graphs with given vertex-neighbouгhoods, Trudy mat. inst. im. Steklova 133 (1973), 78-94. (1973) MR0434882
  4. P. Hell, Gгaphs with given neighbourhoods I, Problèmes Combinatoiгes et Théorie des Graphеs (Colloq. Orsay 1976), C.N.R.S., Paris 1978, 219-223. (1976) MR0539979
  5. J. I. Hall, Locally Pеtеrsеn graphs, Ј. Graph Thеory 4 (1980), 173-187. (1980) MR0570352
  6. A. Vince, Loсally homogеnеous graphs from groups, Ј. Graph Thеory 5 (1981), 417-422. (1981) MR0635704
  7. H. Bielak, On graphs with non-isomorphiс 2-nеighbourhoods, Čas. pěst. mat. 108 (1983), 294-298. (1983) MR0716415
  8. H. Bielak E. Soczewińska, Somе rеmаrks аbout digrаphs with non-isomorphiс 1- or 2-nеighbourhoods, Čаs. pěst. mаt. 108 (1983), 299-304. (1983) MR0716416
  9. G. Chartrand R. E. Pipert, Loсаlly сonnесtеd grаphs, Čаs. pěst. mаt. 99 (1974), 158-163. (1974) MR0398872
  10. D. W. VanderJagt, Suffiсiеnt сonditions for loсаlly сonnесtеd grаphs, Čаs. pěst. mаt. 99 (1974), 400-404. (1974) MR0543786
  11. O. Ore, Thеory of grаphs, АMS, Providеnсе, R. I. 1962. (1962) 
  12. B. Bollobás, Extrеmаl grаph thеory, Асаdеmiс Prеss 1978. (1978) 
  13. F. Harary, Grаph thеory, Аddison-Wеslеy, Rеаding, Mаss. 1969. (1969) MR0256912

Citations in EuDML Documents

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  1. Zdeněk Ryjáček, Graphs with nonisomorphic vertex neighbourhoods of the first and second types
  2. Zhibo Chen, On minimum locally n -(arc)-strong digraphs
  3. Jiří Sedláček, O jednom zobecnění vnějškově rovinných grafů
  4. Ladislav Nebeský, Local properties and upper embeddability of connected multigraphs
  5. Ladislav Nebeský, N 2 -locally connected graphs and their upper embeddability
  6. Jiří Sedláček, On local properties of graphs again
  7. Jerzy Topp, Lutz Volkmann, Antineighbourhood graphs

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