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Nonexistence of a Weakly Neighbourly Polyhedral Map of Type {6, 6}

Nonexistence of a Weakly Neighbourly Polyhedral Map of Type {6, 6}

For the existence of an n-vertex polyhedral map of type {p, p}, it is known that n must be ≥ (p − 1)2 and equality holds if and only if K is weakly neighbourly. We have seen in [Brehm et al. 02] that there is a unique polyhedral map of …