Geodesic
On bipartite \(Q\)-polynomial distance-regular graphs with \(c_2 \leqslant 2\)
Stefko Miklavic1 ; Safet Penjic2
1University of Primorska
2University of Zenica
The electronic journal of combinatorics, Tome 21 (2014) no. 4
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Let $\Gamma$ denote a bipartite $Q$-polynomial distance-regular graph with diameter $D \ge 4$, valency $k \ge 3$ and intersection number $c_2 \le 2$. We show that $\Gamma$ is either the $D$-dimensional hypercube, or the antipodal quotient of the $2D$-dimensional hypercube, or $D=5$.
DOI : 10.37236/4556
Classification : 05C12, 05E30
Mots-clés : distance-regular graphs, \(Q\)-polynomial property, equitable partitions

Stefko Miklavic  1   ; Safet Penjic  2

1 University of Primorska
2 University of Zenica 
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     title = {On bipartite {\(Q\)-polynomial} distance-regular graphs with \(c_2 \leqslant 2\)},
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Stefko Miklavic; Safet Penjic. On bipartite \(Q\)-polynomial distance-regular graphs with \(c_2 \leqslant 2\). The electronic journal of combinatorics, Tome 21 (2014) no. 4. doi: 10.37236/4556

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