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The endomorphisms of Grassmann graphs

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成果类型:
期刊论文、会议论文
作者:
Huang, Li-Ping*;Lv, Benjian*;Wang, Kaishun*
通讯作者:
Huang, Li-Ping;Lv, Benjian;Wang, Kaishun
作者机构:
[Huang, Li-Ping] Changsha Univ Sci & Technol, Sch Math, Changsha 410004, Hunan, Peoples R China.
[Lv, Benjian; Wang, Kaishun] Beijing Normal Univ, Sch Math Sci & Lab Math Com Sys, Beijing 100875, Peoples R China.
通讯机构:
[Huang, Li-Ping] C
[Lv, B; Wang, KS] B
Changsha Univ Sci & Technol, Sch Math, Changsha 410004, Hunan, Peoples R China.
Beijing Normal Univ, Sch Math Sci & Lab Math Com Sys, Beijing 100875, Peoples R China.
语种:
英文
关键词:
Grassmann graph;core;pseudo-core;endomorphism;maximal clique
期刊:
ARS MATHEMATICA CONTEMPORANEA
ISSN:
1855-3966
年:
2016
卷:
10
期:
2
页码:
383-392
会议名称:
6th Workshop on Graph Embeddings and Maps on Surfaces (GEMS)
会议时间:
JUL 14-19, 2013
会议地点:
Smolenice, SLOVAKIA
会议主办单位:
[Huang, Li-Ping] Changsha Univ Sci & Technol, Sch Math, Changsha 410004, Hunan, Peoples R China.^[Lv, Benjian;Wang, Kaishun] Beijing Normal Univ, Sch Math Sci & Lab Math Com Sys, Beijing 100875, Peoples R China.
出版地:
GLAGOLJASKA 8, KOPER, SI-6000, SLOVENIA
出版者:
UP FAMNIT
基金类别:
Projects 11371072, 11301270, 11271047, 11371204, 11501036 supported by NSFC. Supported by the Fundamental Research Funds for the Central University of China, Youth Scholar Program of Beijing Normal University (2014NT31) and China Postdoctoral Science Foundation (2015M570958).
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
A graph G is a core if every endomorphism of G is an automorphism. A graph is called a pseudo-core if every its endomorphism is either an automorphism or a colouring. Suppose that J(q) (n, m) is a Grassmann graph over a finite field with q elements. We show that every Grassmann graph is a pseudo-core. Moreover, J(2) (4, 2) is not a core ...

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