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典型文献
Some Properties of a Class of Addition Cayley Signed Graph
文献摘要:
Let G=Cay+(Zp1×Zpα11pα22…pαkk,Φ)be a simple graph having vertex set V(G)=Zp1×Zpα11pα22…pαkk and edge set E(G)={{x,y}:x+y ∈ Φ},where all p1,p2,…,pk are distinct prime factors and Φ is the set of all units of the ring Zp1×Zpα11pα22…pαkk,Let Σ=(G,σ)be a signed graph whose underlying graph is G and signature function is σ:E(G)→{+1,-1}defined as σ({x,y})={+1,ifx∈φ(p1)or y∈φ(pα11pα22…pαkk);-1,otherwise.In this paper,we charac-terize the balance of Σ and some graphs derived from it such as η(Σ),L(Σ)and CE(Σ).Moreover,we investigate the clusterability and sign-compativility of Σ.
文献关键词:
作者姓名:
YUAN Yuqing;WANG Weizhong
作者机构:
Department of Mathematics,Lanzhou Jiaotong University,Lanzhou 730070,Gansu,China
引用格式:
[1]YUAN Yuqing;WANG Weizhong-.Some Properties of a Class of Addition Cayley Signed Graph)[J].武汉大学自然科学学报(英文版),2022(04):296-302
A类:
Cay+,Zp1,kk,ifx,clusterability,compativility
B类:
Some,Properties,Class,Addition,Cayley,Signed,Graph,Let,11p,be,simple,having,vertex,set,edge,x+y,where,all,p2,pk,are,distinct,prime,factors,units,ring,signed,whose,underlying,signature,function,+1,defined,otherwise,In,this,paper,we,charac,terize,balance,some,graphs,derived,from,such,CE,Moreover,investigate
AB值:
0.479793
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