On cyclic orthogonal double covers of circulant graphs by special infinite graphs

Peer review under responsibility of Kalasalingam University.

Figures & data

Fig. 1 The circulant graph Circ($7;\{2,3,4,5\}$).

Fig. 2 CODC generating graph of $8-$regular Circ $(10;\{1,2,3,4\})$ by $K_{2,4}.$

Fig. 3 CODC generating graph of $14-$regular Circ $(15;\{1,2,3,4,5,6,7\})$ by $K_{1,2,4}.$

Fig. 4 CODC generating graph of $(2n-1)-$regular Circ $(2n;\{1,2,\dots ,n\})$ by $H^n.$

Fig. 5 CODC generating graph of $15-$ regular Circ$(16;\{1,2,3,4,5,6,7,8\})$ by $H^8.$

Fig. 6 CODC generating graph of $13-$regular Circ $(16;\{1,2,3,4,5,7,8\})$ by $H^8\setminus \{(\Psi \left(v_6\right),\Psi \left(v_5\right)),(\Psi \left(v_6\right),\Psi \left(v_2\right))\}.$

Fig. 7 CODC generating graph of $11-$regular Circ $(16;\{1,3,4,5,7,8\})$ by $H^8\setminus \{(\Psi \left(v_6\right),\Psi \left(v_5\right)),(\Psi \left(v_6\right),\Psi \left(v_2\right)),(\Psi \left(v_0\right),\Psi \left(v_2\right)),(\Psi \left(v_0\right),\Psi \left(v_5\right))\}\cong C_3(1,0,2)\cup K_{1,6}.$

Fig. 8 CODC generating graph of $(2n-4)-$regular Circ$(2n;\{\{1,2,\dots ,n-1\}\setminus \{n-2\}\})$ by $G^n\cong$Butter fly $\cup$ $K_{1,2n-10}.$

Fig. 9 CODC generating graph of $12-$regular Circ $(16;\{1,2,3,4,5,7\})$ by $G^8\cong$Butterfly $\cup$ $K_{1,4}.$

Fig. 10 CODC generating graph of $10-$regular Circ $(16;\{1,3,4,5,7\})$ by $P_5\cup K_{1,6}.$