Open AccessMore hyperenergetic molecular graphs
Author(s) -
Jack H. Koolen,
Vincent Moulton,
B Ivan Gutman,
Dušica Vidović
Publication year - 2000
Publication title -
journal of the serbian chemical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.227
H-Index - 45
eISSN - 1820-7421
pISSN - 0352-5139
DOI - 10.2298/jsc0008571k
Subject(s) - graph , combinatorics , mathematics , eigenvalues and eigenvectors , discrete mathematics , chemistry , physics , quantum mechanics
If G is a molecular graph and ?1,?2,... ?n are its eigenvalues, then the energy of G is equal to E(G) = |?1|+|?2|+ ... +|?n|. This energy cannot exceed the value n?n-1 ? n3/2. The graph G is said to be hyperenergetic if E(G)>2n-2. We describe the construc?tion of hyperenergetic graphs G for which E(G)?1/2 n3/2.