Gutman–Vidović's maximal-energy conjecture for bicyclic molecular graphs
Gutman–Vidović's maximal-energy conjecture for bicyclic molecular graphs
Let denote the bicyclic molecular graph of order corresponding to the alpha,beta diphenyl-polyene . Gutman–Vidović's conjecture. For and , the bicyclic molecular graph of order with maximal energy is . The source explains that the conjecture was completely solved for bipartite bicyclic graphs, while it remained open for non-bipartite bicyclic graphs at the point discussed.
Sources & referencesView supporting material
Primary source
Xueliang Li, Yongtang Shi, Meiqin Wei and Jing Li, “On a conjecture about tricyclic graphs with maximal energy”, arXiv:1312.0204 (2014).
Additional references
2 papers in this index state this conjecture (2011–2013). The statement above is taken from the most recent of them; the others are arXiv:1101.0058.
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