S. Langley

collaborators

3 papers

math.CO2025

Strong Central 2-Trees with Tail Degrees {2, 3}: Structural Characterization and Uniqueness Criteria

Julian Allagan, Shawn Langley, Weizheng Gao +1

We study strong $r$ -central $2$ -trees whose non-central vertices have degrees in ${2, 3}$ , focusing on the cases $r = 1, 2, 3$ . For each $r$ , we derive exact degree constraints relati…

cs.DS2025

Chromatic Feature Vectors for 2-Trees: Exact Formulas for Partition Enumeration with Network Applications

J. Allagan, G. Morgan, S. Langley +2

We establish closed-form enumeration formulas for chromatic feature vectors of 2-trees under the bichromatic triangle constraint. These efficiently computable structural features d…

math.CO2025

Golden Ratio Growth and Phase Transitions in Chromatic Counts of Circular Chord Graphs

Rogelio N. Lopez-Bonilla, Julian Allagan, Shawn M. Langley +1

We study generalized circular chord graphs $C_{n}^{(k)}$ , formed from a cycle $C_{n}$ by adding fixed-offset chords of length $k$ and, for even $n$ , diameters. Using transfer…