Caterpillar Graphs as Mathematical Weapon: The Technique Behind Six Disproofs

Opus 5's caterpillar construction method — building infinite families of trees with controlled domination parameters — proved effective across three conjecture types (349, 340, 352). The technique exploits a structural property: caterpillars have a simple spine-path structure that makes domination calculations tractable while allowing deficit growth to infinity. A deceptively simple weapon with devastating mathematical power.