L(2,1)-labeling number of the product and the join graph on two fans are discussed in this paper, we proved that L(2,1)-labeling number of the product graph on two fans is?λ(G) ≤ Δ+3 , L(2,1)-labeling number of the...L(2,1)-labeling number of the product and the join graph on two fans are discussed in this paper, we proved that L(2,1)-labeling number of the product graph on two fans is?λ(G) ≤ Δ+3 , L(2,1)-labeling number of the join graph on two fans is?λ(G) ≤ 2Δ+3.展开更多
利用文献[5](Seoud M,Abdel Maqsoud A E I,Sheehan J.Harmonious Graphs.Util Math,1995,47:225-233.)中的引理1,研究了Pm1×Pn1与Pm2×Pn2的连接和Pm×Pn与Ck的连接的Cordial性,得到当m1,m2,n1,n2≥2时,(Pm1×Pn1)∨(...利用文献[5](Seoud M,Abdel Maqsoud A E I,Sheehan J.Harmonious Graphs.Util Math,1995,47:225-233.)中的引理1,研究了Pm1×Pn1与Pm2×Pn2的连接和Pm×Pn与Ck的连接的Cordial性,得到当m1,m2,n1,n2≥2时,(Pm1×Pn1)∨(Pm2×Pn2)均为Cordial图;当m,n≥2时,(Pm×Pn)∨Ck是Cordial图的充要条件.展开更多
文摘L(2,1)-labeling number of the product and the join graph on two fans are discussed in this paper, we proved that L(2,1)-labeling number of the product graph on two fans is?λ(G) ≤ Δ+3 , L(2,1)-labeling number of the join graph on two fans is?λ(G) ≤ 2Δ+3.
文摘利用文献[5](Seoud M,Abdel Maqsoud A E I,Sheehan J.Harmonious Graphs.Util Math,1995,47:225-233.)中的引理1,研究了Pm1×Pn1与Pm2×Pn2的连接和Pm×Pn与Ck的连接的Cordial性,得到当m1,m2,n1,n2≥2时,(Pm1×Pn1)∨(Pm2×Pn2)均为Cordial图;当m,n≥2时,(Pm×Pn)∨Ck是Cordial图的充要条件.