National Natural Science Foundation of China(12061089,11861076,11701503,12161021,11761079);Natural Science Foundation of Yunnan Province(2019FB139,202201AT070022).
In this paper,we classify connected arc-transitive graphs of valency 1l and of order 4n,where n is an odd square-free integer.In particular,there are four infinite families of such graphs,which have a minimal arc-tran...
Let X be a connected G-locally primitive arc-transitive graph for some sub-group G of Aut(X).Suppose that X is a(G,s)-transitive graph.In this paper,we give a characterization of the vertex-stabilizer G,when X has val...
partially supported by the Mathematical Tianyuan Foundation of China(11426093,12126317);National Natural Science Foundation of China(11501172,11301154);Natural Science Foundation of Henan Province,Fundamental Research Funds for the Universities of Henan Province(NSFRF240316);Young Core Teacher Foundation of Henan Polytechnic University(2023XQG-11).
A simple undirected regular graph is said to be semisymmetric if it is edge-transitive but not vertex-transitive.For a semisymmetric graphΓof order 2p^(3),p a prime,it is well known thatΓis bipartite with two bipart...
This paper investigates the verb valency structure of English that is used by English as Foreign Language(EFL)learners from a corpus-driven perspective.Specifically,it focuses on the usage of the verbs“suggest”and“...
The present paper focuses on a descriptive method of valency-increasing devices in five South Ethio-Semitic languages(Amharic,Harari,Kɨstane,Məsqan,and Endəgaɲ).The five languages were selected for two reasons.The fir...
supported by the National Natural Science Foundation of China(11731002,11701503,11971248,12061089)and the Fundamental Research Funds for the Central Universities.
In this paper,we present a complete list of connected arc-transitive graphs of square-free order with valency 11.The list includes the complete bipartite graph K11,11,the normal Cayley graphs of dihedral groups and th...
supported by the National Natural Science Foundation of China(11701503,11861076,12061089,11761079);Yunnan Applied Basic Research Projects(2018FB003,2019FB139);the third author was supported by the National Natural Science Foundation of China(11601263,11701321).
A Cayley graph Г=Cay(G,S)is said to be normal if G is normal in Aut Г.In this paper,we investigate the normality problem of the connected 11-valent symmetric Cayley graphs Г of finite nonabelian simple groups G,whe...
A class of graph invariants referred to today as topological indices are inefficient progressively acknowledged by scientific experts and others to be integral assets in the depiction of structural phenomena.The struc...
The present paper shows the mathematical approach of formalization of textile fabrics, based on concepts and elements of graph theory and the structural analysis of woven structures and possibility of numerical evalua...
This work was supported by the National Natural Science Foundation of China (11301154, 11271012, 11301159, 11101035, 11326056), the Key Project of Education Department of Henan Province Scientific and Technological Research (13A110249) and the Scientific Re- search Foundation for Doctoral Scholars of HAUST (09001707).
Let X be a finite simple undirected graph and G an automorphism group of X. If G is transitive on s-arcs but not on (s + 1)-arcs then X is called (G, s)-transitive. Let X be a connected (G, s)-transitive graph ...