G12 SUPER GIO
123
03
CHALLENGE MISSIONcounting, recursion, graphs, algorithms, and connectivity

counting, recursion, graphs, algorithms, and connectivity

CAPSTONE TRANSFERINDEPENDENT TRANSFER

Prove a graph claim

Claim: every tree with n vertices has n-1 edges. Remove a leaf from a nontrivial tree; the remaining graph is still a tree.

  1. Use induction with the leaf-removal invariant.
  2. Defend the transfer, name its boundary, and leave an auditable reasoning trail.

Which inductive step is valid?

MODELNetwork Logic Board
MATH
PROVEChoose with evidence
CLUE

Pause. Find what matters. Then make your move.