Peter Lowes

A Fixed-Part Bipartite Extremal Bound for the Eight-Vertex Spider

Let T be the eight-vertex tree obtained from a seven-vertex path by adjoining a leaf to its central vertex, equivalently the spider with leg lengths 3, 3, and 1. Waite and Aydin (arXiv:2607.29579) identify T as the smallest tree outside the scope of their Theorem 1.4. We prove th...