Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897811 | Linear Algebra and its Applications | 2018 | 18 Pages |
Abstract
Let S=(G,Ï) be a signed graph of order n and size m, where G is its underlying graph and Ï is the sign function. A connected signed graph S is said to be bicyclic if m=n+1. In this paper, we provide characterizations of bicyclic signed graphs with minimal and second minimal energy. We notice that there are gaps in the proofs of the main results in J. Zhang, H. Kan (2014) [32] and J. Zhang, B. Zhou (2005) [31] which deal with minimal energy of bicyclic graphs and we plug these gaps as a consequence of the results obtained for bicyclic signed graphs.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Mushtaq A. Bhat, U. Samee, S. Pirzada,