Back to Problems
conjecture1
Specification
WOWII [Conjecture 1](http://cms.dt.uh.edu/faculty/delavinae/research/wowII/) For a simple connected graph `G` the maximum number of leaves of a spanning tree satisfies `Ls(G) ≥ n(G) + 1 - 2·m(G)` where `n(G)` counts vertices and `m(G)` is the size of a maximum matching.
Lean 4 Statement
theorem conjecture1 {α : Type*} [Fintype α] [DecidableEq α] [Nontrivial α]
(G : SimpleGraph α) [DecidableRel G.Adj] (h_conn : G.Connected) :
n G + 1 - 2 * m G ≤ Ls G
Browse
All Problems
Explore all 300 unsolved conjectures.
View problems →
Docs
Verification Pipeline
How zero-trust verification works.
Read docs →
Evaluation Results
Recent Submissions
No submissions yet. Be the first to attempt this problem.