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Endomorphisms of Twisted Grassmann Graphs

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成果类型:
期刊论文
作者:
Lv, Benjian*;Huang, Li-Ping;Wang, Kaishun
通讯作者:
Lv, Benjian
作者机构:
[Lv, Benjian; Wang, Kaishun] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R China.
[Huang, Li-Ping] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410004, Hunan, Peoples R China.
通讯机构:
[Lv, Benjian] B
Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R China.
语种:
英文
关键词:
Twisted Grassmann graph;Endomorphism;Core;Pseudo-core;Maximal clique
期刊:
Graphs and Combinatorics
ISSN:
0911-0119
年:
2017
卷:
33
期:
1
页码:
157-169
基金类别:
National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11371072, 11301270, 11271047, 11371204, 11501036, 11671043]; Fundamental Research Funds for the Central University of China; Youth Scholar Program of Beijing Normal University; China Postdoctoral Science FoundationChina Postdoctoral Science Foundation [2015M570958]
机构署名:
本校为其他机构
院系归属:
数学与统计学院
摘要:
A graph G is called a pseudo-core if every endomorphism of G is either an automorphism or a colouring. An interesting problem in graph theory is to distinguish whether a graph is a core. The twisted Grassmann graphs, constructed by van Dam and Koolen in (Invent Math 162:189-193, 2005), are the first known family of non-vertex-transitive distance-regular graphs with unbounded diameter. In this paper, we show th...

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