How statement and proof provenance work
The first chip identifies the source of the statement or construction; the second identifies the source of its local proof or verification.
- Literature-sourced — the exact statement appears in a cited source; only wording and notation differ.
- AI-adapted — a semantically identical restatement of literature-sourced material, modulo indexing, notation, and boundary cases adopted by the library.
- AI-generated — a genuinely novel statement formulated by AI, with no source for the claim itself.
These labels describe origin, not correctness: citations and verification chips remain separate evidence.
Alternating and augmenting paths relative to a matching
Definition
Let be a matching of . A path is -alternating if consecutive edges alternately lie outside and inside . It is -augmenting if it is -alternating, its first and last edges lie outside , and its two endpoints are -exposed. Thus an augmenting path has odd length, including the possible one-edge path between two exposed vertices.
Depends on
Used by
Dependency tree · next 3 levels
Direct dependencies and their dependencies through the next three levels: 12 results over 9 levels. An arrow runs from a result to what uses it, and this result sits at the bottom with a heavier outline. Click the chart to enlarge it.
Sources
- M. Goemans, Lecture notes on bipartite matching (standard reference, not scraped)