Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
427340 | Information Processing Letters | 2011 | 4 Pages |
Abstract
In a recently published paper [Z.-J. Xue, S.-Y. Liu, An optimal result on fault-tolerant cycle-embedding in alternating group graphs, Inform. Process. Lett. 109 (21–22) (2009) 1197–1201], the authors showed that for a set of faulty vertices F in an n -dimensional alternating group graph AGnAGn, AGn−FAGn−F remains pancyclic if |F|≤2n−6|F|≤2n−6. However, the proof of the result is flawed. We will prove the theorem again correcting the defects in the previous proof.
Research highlights► We show that an AGnAGn remains pancyclic with at most 2n−62n−6 faulty vertices. ► We indicate the defects in the previous proof. ► We prove the theorem again correcting the previous proof.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Ping-Ying Tsai,