A counterexample for the proof of implication conjecture on independent spanning trees
β Scribed by Gopalan, Abishek; Ramasubramanian, Srinivasan
- Book ID
- 125452603
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 168 KB
- Volume
- 113
- Category
- Article
- ISSN
- 0020-0190
No coin nor oath required. For personal study only.
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Graffiti is a computer program that checks for relationships among certain graph invariants. It uses a database of graphs and has generated well over 700 conjectures. Having obtained a readily available computer tape of all the nonisomorphic graphs with 10 or fewer vertices, we have tested approxima
## Abstract Let __G__ be a graph and __f__ be a mapping from __V__(__G__) to the positive integers. A subgraph __T__ of __G__ is called an __f__βtree if __T__ forms a tree and __d__~__T__~(__x__)β€__f__(__x__) for any __x__β__V__(__T__). We propose a conjecture on the existence of a spanning __f__βt