The selective transport effect in p-n zigzag graphene ribbon junctions has so far been attributed to the parity of the energy bands. Through the analysis of the electron transmission in two-size zigzag graphene ribbons, we unveil that this parity effect depends also on the spatial arrangement of the p-n ribbon sections. We further elucidate that highly dispersive edge states can mitigate and even eliminate this effect. Our findings shed light on the parity selective transport effect in zigzag graphene ribbons and open pathways for tuning quantum transport in graphene systems.

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• Edge states
• Electronic structure
• Quantum transport
• Graphene
• Parity
• Nonequilibrium Green's function
• Tight-binding model