Balanced integral trees

Pavol Híc; Roman Nedela

Mathematica Slovaca (1998)

  • Volume: 48, Issue: 5, page 429-445
  • ISSN: 0232-0525

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Híc, Pavol, and Nedela, Roman. "Balanced integral trees." Mathematica Slovaca 48.5 (1998): 429-445. <http://eudml.org/doc/34483>.

@article{Híc1998,
author = {Híc, Pavol, Nedela, Roman},
journal = {Mathematica Slovaca},
keywords = {characteristic polynomial; integral trees},
language = {eng},
number = {5},
pages = {429-445},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Balanced integral trees},
url = {http://eudml.org/doc/34483},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Híc, Pavol
AU - Nedela, Roman
TI - Balanced integral trees
JO - Mathematica Slovaca
PY - 1998
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 48
IS - 5
SP - 429
EP - 445
LA - eng
KW - characteristic polynomial; integral trees
UR - http://eudml.org/doc/34483
ER -

References

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  1. BUSSEMAKER F. C.-CVETKOVIC D., There are exactly 13 connected cubic integral graphs, Publ. Elektrotech. Fak. Ser. Mat. Fiz. 544 (1976), 43-48. (1976) MR0465944
  2. CVETKOVIC D.-DOOB M.-SACHS H., Spectra of Graphs, VEB Deutscher Verlag d. Wiss, Berlin, 1980. (1980) Zbl0458.05042MR0572262
  3. HARARY F., Graph Theory, Addison-Wesley, Reading Mass., 1969. (1969) Zbl0196.27202MR0256911
  4. HARARY F.-SCHWENK A. J., Which graphs have integral spectra?, In: Graphs and Combinatorics. Lecture Notes in Math. 406, Springer-Verlag, Berlin, 1974, pp. 45-51. (1974) MR0387124
  5. HARARY F., Four difficult unsolved problems in graph theory, In: Recent Advances in Graph Theory, Academia, Praha, 1975, pp. 253-255. (1975) Zbl0329.05125MR0382042
  6. HIC P.-NEDELA R.-PAVLIKOVA S., Front divisor of trees, Acta Math. Univ. Comenian. LXI (1992), 69-84. (1992) MR1205861
  7. HIC P.-NEDELA R., Note on zeros of the characteristic polynomial of balanced integral trees, Acta Univ. Mathaei Belii Ser. Math. 3 (1995), 31-35. (1995) MR1409887
  8. LI X. L.-LIN G. N., On integral trees problems, Kexue Tongbao (Chinese) 33 (1988), 802-806. (1988) MR0963194
  9. LIU R. Y., Integral trees of diameter 5, J. Systems Sci. Math. Sci. 8 (1988), 357-360. (1988) Zbl0695.05016MR0979677
  10. SCHWENK J. A., Computing the characteristic polynomial of a graphs, In: Graphs and Combinatorics. Lecture notes in Math. 406, Springer-Verlag, Berlin, 1974, pp. 247-251. (1974) MR0387126
  11. SCHWENK A. J., Exactly thirteen connected cubic graphs have integral spectra, In: Notes in Math. Ser. A 642, Springer-Verlag, Berlin, 1978, pp. 516-533. (1978) Zbl0376.05050MR0499520
  12. SCHWENK A. J.-WATANABE M., Integral starlike trees, J. Austral. Math. Soc. Ser. A 28 (1979), 120-128. (1979) Zbl0428.05021MR0541173
  13. WATANABE M., Note on integral trees, Math. Rep. Toyama Univ. 2 (1979), 95-100. (1979) Zbl0432.05019MR0542382

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