路的半强积的孪生强边染色

On Twin Strong Edge Coloring of Semistrong Product with Path

G的k-模色和(α,β)-边染色是指按模色和能诱导出G的β-距离点染色的G的k-α-距离边染色,最小的k值称为G的模色和(α,β)-边色数,记为ind mα,β(G),其中颜色集合为{0,1,…,k-1}.当α=β=2时,G的模色和(α,β)-边染色也叫孪生强边染色,记为ind m 2,2(G).通过研究有限路的半强积的孪生强边染色,得到了相应的染色数.

k-α-distance edge colorings of a graph G that can induceβ-distance vertex coloring of G by module color sum,which is called k-modulecolor sum(α,β)-edge coloringof graph G.The minimum k is called modulecolor sum(α,β)-edge chromatic number of graph G,defined by ind mα,β(G),where the color sets is{0,1,…,k-1}.The edge coloring of graph G is called twin strong edge coloring whenα=β=2,defined by ind mα,β(G).We studied that twin strong edge coloring for the semistrong product of infinite paths,and it's twin strong chromatic number was obtained.