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- W2354228051 abstract "Let S_(1,k) be the star with k+1 vertices,and let P_m denote the path with m vertices,let G be an arbitary connected graph.And let V(P_m)={V_1,V_2,…V_(m-1),V_m} with corresponding degree sequence(1,2,…,2,1).Denote by S~(p(i))_(km+1) the graph consisting of kP_m and S_(1,k) by coinciding the ith vertex of each component of kP_m with k vertices of degree 1 of S_(1,k) respectively.Let G~(s~*(i))_(j_1j_2…j_t)(p,tkm) denote the graph obtained from tS~(p(i))_(km+1) and G by coinciding the vertex of degree k of everyone of tS~(p(i))_(km+1) with vertices u_(j_1),u_(j_2),…,u_(j_t)(t≤p) of graph G respectively,where p≥1,k≥2,m≥3,1≤i≤m,t≥1.By studyying the factorization of adjoint polynomials of the graphs S~(p(i))_(km+1)∪(k-1)K_1,S~(p(i))_(2rm+1),S~(p(i))_((2r-1)m+1),G~(s~*(i))_(j_1j_2…j_t)(p,2rmt) and G~(s~*(i))_(j_1j_2…j_t)(p,(2r-1)mt),the paper proved the structure theorem of the chromatically equivatent graphs of their complements,and improve Theorem 2 and Theorem 4 in Zhang Bing-ru." @default.
- W2354228051 created "2016-06-24" @default.
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- W2354228051 date "2006-01-01" @default.
- W2354228051 modified "2023-09-25" @default.
- W2354228051 title "The Factorization of Adjoint Polynomials of Graphs G_(j_1j_2…j_t)~(s~* (i))(p,tkm) and Chromatically Equivalence Analysis" @default.
- W2354228051 hasPublicationYear "2006" @default.
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