Let G be a simple graph. The incidence energy (IE for short) of G is defined as the sum of the singular values of the incidence matrix. In this paper, a new upper bound for IE of graphs in terms of the maximum degree is given. Meanwhile, bounds for IE of the line graph of a semiregular graph and the paraline graph of a regular graph are obtained.
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Natl Univ Def Technol, Coll Liberal Arts & Sci, Changsha 410073, Hunan, Peoples R ChinaNatl Univ Def Technol, Coll Liberal Arts & Sci, Changsha 410073, Hunan, Peoples R China
Liu, Chang
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Pan, Yingui
Dai, Li
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Natl Univ Def Technol, Coll Liberal Arts & Sci, Changsha 410073, Hunan, Peoples R ChinaNatl Univ Def Technol, Coll Liberal Arts & Sci, Changsha 410073, Hunan, Peoples R China
Dai, Li
Li, Jianping
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Natl Univ Def Technol, Coll Liberal Arts & Sci, Changsha 410073, Hunan, Peoples R ChinaNatl Univ Def Technol, Coll Liberal Arts & Sci, Changsha 410073, Hunan, Peoples R China
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North Eastern Hill Univ, Dept Math, Shillong 793022, Meghalaya, IndiaNorth Eastern Hill Univ, Dept Math, Shillong 793022, Meghalaya, India
Phanjoubam, Chinglensana
Mawiong, Sainkupar Mn
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North Eastern Hill Univ, Dept Basic Sci & Social Sci, Shillong 793022, Meghalaya, IndiaNorth Eastern Hill Univ, Dept Math, Shillong 793022, Meghalaya, India