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非连通图C_8(r_1,0,r_2,0,…,0)∪G的交错标号

The balanced labeling of the unconnected graph C_8( r_1,0,r_2,0,…,0) ∪G
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摘要 讨论非连通图C8(r1,0,r2,0,…,0)∪G的优美性,证明当r1,r2为任意自然数、G是特征为k且缺k+3标号值的交错图(3≤k+3<|E(G)|)时,非连通图C8(r1,0,r2,0,…,0)∪G存在缺标号值k+1的特征为k+5的交错标号,其中C8是具有8个顶点的圈,C8(r1,0,r2,0,…,0)是圈C8的(r1,0,r2,0,…,0)-冠. The gracefulness of the graph C8 ( r1 ,0, r2 ,0,... ,0) tO G was discussed. It was proved that for any natural numbers rl, r2 when G was balanced bipartite graph with certain conditions , the unconnected graph Cs (q ,0, r2 ,0,... ,0) tO G was balanced bipartite graph.
出处 《安徽大学学报(自然科学版)》 CAS 北大核心 2014年第1期19-23,共5页 Journal of Anhui University(Natural Science Edition)
基金 国家自然科学基金资助项目(11261019 11361024) 江西省自然科学基金资助项目(20114BAB201010)
关键词 优美图 非连通图 平衡二分图 graceful graph unconnected graph balanced bipartite graph
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