| Title:
|
Balanced integral trees (English) |
| Author:
|
Híc, Pavol |
| Author:
|
Nedela, Roman |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
48 |
| Issue:
|
5 |
| Year:
|
1998 |
| Pages:
|
429-445 |
| . |
| Category:
|
math |
| . |
| MSC:
|
05C05 |
| MSC:
|
05C50 |
| idZBL:
|
Zbl 0958.05025 |
| idMR:
|
MR1697609 |
| . |
| Date available:
|
2009-09-25T11:32:46Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136736 |
| . |
| Reference:
|
[1] BUSSEMAKER F. C.-CVETKOVIC D.: There are exactly 13 connected cubic integral graphs.Publ. Elektrotech. Fak. Ser. Mat. Fiz. 544 (1976), 43-48. MR 0465944 |
| Reference:
|
[2] CVETKOVIC D.-DOOB M.-SACHS H.: Spectra of Graphs.VEB Deutscher Verlag d. Wiss, Berlin, 1980. Zbl 0458.05042, MR 0572262 |
| Reference:
|
[3] HARARY F.: Graph Theory.Addison-Wesley, Reading Mass., 1969. Zbl 0196.27202, MR 0256911 |
| Reference:
|
[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. MR 0387124 |
| Reference:
|
[5] HARARY F.: Four difficult unsolved problems in graph theory.In: Recent Advances in Graph Theory, Academia, Praha, 1975, pp. 253-255. Zbl 0329.05125, MR 0382042 |
| Reference:
|
[6] HIC P.-NEDELA R.-PAVLIKOVA S.: Front divisor of trees.Acta Math. Univ. Comenian. LXI (1992), 69-84. MR 1205861 |
| Reference:
|
[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. MR 1409887 |
| Reference:
|
[8] LI X. L.-LIN G. N.: On integral trees problems.Kexue Tongbao (Chinese) 33 (1988), 802-806. MR 0963194 |
| Reference:
|
[9] LIU R. Y.: Integral trees of diameter 5.J. Systems Sci. Math. Sci. 8 (1988), 357-360. Zbl 0695.05016, MR 0979677 |
| Reference:
|
[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. MR 0387126 |
| Reference:
|
[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. Zbl 0376.05050, MR 0499520 |
| Reference:
|
[12] SCHWENK A. J.-WATANABE M.: Integral starlike trees.J. Austral. Math. Soc. Ser. A 28 (1979), 120-128. Zbl 0428.05021, MR 0541173 |
| Reference:
|
[13] WATANABE M.: Note on integral trees.Math. Rep. Toyama Univ. 2 (1979), 95-100. Zbl 0432.05019, MR 0542382 |
| . |
