Geodesic graphs with homogeneity conditions. (English. Russian original) Zbl 1250.05038
Dokl. Math. 78, No. 2, 743-745 (2008); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 422, No. 5, 589-591 (2008).
Summary: A number of assertions for biregular geodesic graphs (BRG-graphs) are proved.
MSC:
| 05C10 | Planar graphs; geometric and topological aspects of graph theory |
References:
| [1] | Brouwer, A. E.; Cohen, A. M.; Neumaier, A., Distance-Regular Graphs (1989), Berlin: Springer-Verlag, Berlin · Zbl 0747.05073 |
| [2] | Makhnev, A. A.; Paduchikh, D. V., Algebra Logika, 40, 125-134 (2001) · Zbl 1009.20004 |
| [3] | Gavrilyuk, A. L.; Makhnev, A. A., Mat. Zametki, 82, 1, 14-26 (2007) · Zbl 1219.05200 |
| [4] | Makhnev, A. A.; Nirova, M. S., Algebra Logika, 45, 603-619 (2006) · Zbl 1164.51300 |
| [5] | Gardiner, A. D., J. Comb. Theory B, 20, 94-102 (1976) · Zbl 0327.05111 · doi:10.1016/0095-8956(76)90072-1 |
| [6] | Gavrilyuk, A. L., Tr. Inst. Mat. Mekh. Ural. Otd. Ross. Akad. Nauk, 13, 4, 48-59 (2007) |
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