arXiv (All)
open access
Spanning Trees with Many Leaves in Graphs of Minimum Degree at Least 7
We give a polynomial-time algorithm that constructs, in every connected $n$-vertex graph of minimum degree at least $7$, a spanning tree with at least $\frac{25200}{46189}n>0.5455\,n$ leaves. No bound specific to minimum degree $7$ was known: the best bound available for this class was $\frac{11}{21
Conceptio Open Archive
Analyze & explore related research in Conceptio
Connect this record directly into your research workflow or AI agent. Explore citations across open repositories, query full text, and export structured proof bundles.
This document is indexed with metadata only: full text is not available in the archive for this record. Open the official source ↗
Related documents
- Packing the largest trees in the tree packing conjecture#131218
- AutoGraphForge: Towards Automated Graph Theory Discovery#926397
- Minimum Sum Vertex Cover via Minimum Vertex Cover#1063328
- Maximum Covering Network Design on Graphs with Low Connectivity: Dynamic Programming and Block-Cut Trees#662086
- Maximum Covering Network Design on Graphs with Low Connectivity: Dynamic Programming and Block-Cut Trees#661036
Record · ID 1104553
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Retrieved via Conceptio: every document is proof-bundled with source, license, and retrieval metadata.
Bring this data into your agent: Connect via MCP or API · 20 free credits to start · no card required
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive
Read the Docs → · View CLI source on GitHub · Conceptio Open Knowledge Archive