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Welcome to our site! Electro Tech is an online community (with over 170,000 members) who enjoy talking about and building electronic circuits, projects and gadgets. To participate you need to register. Registration is free. Click here to register now.
If you mean the ones I circled in RED, then yes, they are absolutely necessary. They ensure that the reverse voltage across each LED is the same as the forward voltage across it's "antiphase" partner.
Without the "jumpers":
Since the LEDs wouldn't all have the same reverse leakage current, some of the reverse biased LEDs would have a higher voltage across them than the other more leaky LEDs. The low leakage LEDs would break down at this higher reverse voltage and be damaged.
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