与循环相关的分裂图和阴影图的反幻图标记改进方案

2019 1st International Conference on Advances in Science, Engineering and Robotics Technology (ICASERT) Pub Date : 2019-05-01 DOI:10.1109/ICASERT.2019.8934741

Zareen Tasneem, Farissa Tafannum, M. Rahman

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引用次数: 0

摘要

反幻图标记是在图的边缘上分配正数，使得每个节点的图边缘标记的总和发生变化。重点讨论了循环的分裂图和阴影图的强反幻图标记。给出了关于循环的分裂图和阴影图的修正定理及其证明。这些定理的正确性已通过许多例子加以说明。

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Revised Scheme for Antimagic Graph Labeling for Splitting Graph and Shadow Graph Associated with Cycle

Antimagic graph labeling is the allotment of positive numbers to the edges of a graph such that the sum of graph edge labels incident to each node varies. The paper emphasizes on strong antimagic graph labeling for splitting graph and shadow graph of cycle. Modified theorems and their proofs on splitting and shadow graphs of cycle have been presented. The validity of the theorems has been illustrated through numerous examples.

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2019 1st International Conference on Advances in Science, Engineering and Robotics Technology (ICASERT)

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