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A counterexample for the proof of implication conjecture on independent spanning trees

✍ 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

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## 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__‐tree if __T__ forms a tree and __d__~__T__~(__x__)≀__f__(__x__) for any __x__∈__V__(__T__). We propose a conjecture on the existence of a spanning __f__‐t