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Some Results on Cordial Digraphs
Department of Mathematics and Computer, Faculty of Science, Ibb University, Ibb, Yemen
Department of Mathematics, Faculty of Science, Munofia University, Monofia, Egypt
Department of Mathematics, Faculty of Science, Munofia University, Monofia, Egypt
Department of Mathematics, Faculty of Science and Arts, Mohayel Assir, King Khalid University, Abha, KSA
- 1 Department of Mathematics and Computer, Faculty of Science, Ibb University, Ibb, Yemen
- 2 Department of Mathematics, Faculty of Science, Munofia University, Monofia, Egypt
- 3 Department of Mathematics, Faculty of Science, Munofia University, Monofia, Egypt
- 4 Department of Mathematics, Faculty of Science and Arts, Mohayel Assir, King Khalid University, Abha, KSA
Open Journal of Discrete Mathematics·Volume 10 (2019)·Pages 4–12·Published 11 November 2019·DOI10.4236/ojdm.2020.101002
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Abstract
A digraph is a graph in which each edge has an orientation. A linear directed path, , is a path whose all edges have the same orientation. A linear simple graph is called directed cordial if it admits 0 - 1 labeling that satisfies certain condition. In this paper, we study the cordiality of directed paths and their second power . Similar studies are done for and the join . We show that , and are directed cordial. Sufficient conditions are given to the join to be directed cordial.
KeywordsPathsSecond Power of PathJoin of PathsCordial Graph
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