SHILLA GRAPHS WITH \(b=5\) AND \(b=6\)
| Autor: | Alexander A. Makhnev, Ivan N. Belousov |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Ural Mathematical Journal, Vol 7, Iss 2 (2021) |
| Druh dokumentu: | article |
| ISSN: | 2414-3952 |
| DOI: | 10.15826/umj.2021.2.004 |
| Popis: | A \(Q\)-polynomial Shilla graph with \(b = 5\) has intersection arrays \(\{105t,4(21t+1),16(t+1); 1,4 (t+1),84t\}\), \(t\in\{3,4,19\}\). The paper proves that distance-regular graphs with these intersection arrays do not exist. Moreover, feasible intersection arrays of \(Q\)-polynomial Shilla graphs with \(b = 6\) are found. |
| Databáze: | Directory of Open Access Journals |
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