Sebastian Cioaba;
Adjacency matrix;
star complement;
strongly regular graph;
D O I:
10.1080/03081087.2019.1586821
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
In this paper we consider strongly regular graphs G which admit a decomposition into two strongly regular graphs such that one of them, say H, is a star complement of G. Relations between the parameters of graphs paired in this way are determined. We also consider several particular types of strongly regular graph and determine whether such graphs can appear in the role of G or H.
机构:
King Abdulaziz Univ, Dept Math, Jeddah, Saudi ArabiaKing Abdulaziz Univ, Dept Math, Jeddah, Saudi Arabia
Alahmadi, Adel
Alkenani, Ahmad
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机构:
King Abdulaziz Univ, Dept Math, Jeddah, Saudi ArabiaKing Abdulaziz Univ, Dept Math, Jeddah, Saudi Arabia
Alkenani, Ahmad
Kim, Jon-Lark
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机构:
Sogang Univ, Dept Math, Seoul 04107, South KoreaKing Abdulaziz Univ, Dept Math, Jeddah, Saudi Arabia
Kim, Jon-Lark
Shi, Minjia
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机构:
Anhui Univ, Minist Educ, Key Lab Intelligent Comp & Signal Proc, Hefei 230039, Anhui, Peoples R China
Southeast Univ, Natl Mobile Commun Res Lab, Fefei 230601, Anhui, Peoples R China
Anhui Univ, Sch Math Sci, Fefei 230601, Anhui, Peoples R ChinaKing Abdulaziz Univ, Dept Math, Jeddah, Saudi Arabia
Shi, Minjia
Sole, Patrick
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机构:
Univ Paris 08, CNRS, LAGA, F-93526 St Denis, FranceKing Abdulaziz Univ, Dept Math, Jeddah, Saudi Arabia
机构:
Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Hebei, Peoples R ChinaHebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Hebei, Peoples R China
Jia, Dongdong
Yuan, Landang
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机构:
Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Hebei, Peoples R ChinaHebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Hebei, Peoples R China
Yuan, Landang
Zhang, Gengsheng
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机构:
Hebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Hebei, Peoples R China
Hebei Key Lab Computat Math & Applicat, Shijiazhuang 050024, Hebei, Peoples R ChinaHebei Normal Univ, Coll Math & Informat Sci, Shijiazhuang 050024, Hebei, Peoples R China