On graphs in which the neighborhood of each vertex is isomorphic to the Gewirtz graph. (English. Russian original) Zbl 1285.05128
Dokl. Math. 80, No. 2, 684-688 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 428, No. 3, 300-304 (2009).
MSC:
| 05C60 | Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) |
| 05C75 | Structural characterization of families of graphs |
| 05E30 | Association schemes, strongly regular graphs |
References:
| [1] | A. E. Brouwer, A. M. Cohen, and A. Neumaier, Distance-Regular Graphs (Springer-Verlag, Berlin, 1989). · Zbl 0747.05073 |
| [2] | A. L. Gavrilyuk and A. A. Makhnev, Dokl. Math. 78, 550–553 (2008) [Dokl. Akad. Nauk 421, 445–448 (2008)]. · Zbl 1287.05127 · doi:10.1134/S1064562408040212 |
| [3] | A. E. Brouwer and W. H. Haemers, Spectra of Graphs (Course Notes), http://www.win.tue.nl/aeb/ . · Zbl 0794.05076 |
| [4] | P. Terwilliger, Discrete Math. 61, 311–315 (1986). · Zbl 0606.05045 · doi:10.1016/0012-365X(86)90102-0 |
| [5] | A. E. Brouwer and D. M. Mesner, Eur. J. Combin. 6, 215–216 (1985). · Zbl 0607.05045 · doi:10.1016/S0195-6698(85)80030-5 |
| [6] | A. Jurisic and J. Koolen, J. Algebra Combinatorics 18, 79–98 (2003). · Zbl 1038.05059 · doi:10.1023/A:1025133213542 |
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