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A Survey of the Studies on Gallai and Anti-Gallai Graphs
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نویسنده
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Poovathingal Agnes ,Kureethara Joseph Varghese ,Deepthy Dinesan
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منبع
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Communications In Combinatorics And Optimization - 2021 - دوره : 6 - شماره : 1 - صفحه:93 -112
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چکیده
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The gallai graph and the anti-gallai graph of a graph g are edge disjoint spanning subgraphs of the line graph l(g). the vertices in the gallai graph are adjacent if two of the end vertices of the corresponding edges in g coincide and the other two end vertices are nonadjacent in g. the anti-gallai graph of g is the complement of its gallai graph in l(g). attributed to gallai (1967), the study of these graphs got prominence with the work of sun (1991) and le (1996). this is a survey of the studies conducted so far on gallai and anti-gallai of graphs and their associated properties.
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کلیدواژه
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Line Graphs ,Gallai Graphs ,Anti-Gallai Graphs ,Irreducibility ,Cograph ,Total Graph ,Simplicial Complex ,Gallai-Mortal Graph
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آدرس
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Christ University, Department Of Mathematics, India, Christ University, Department Of Mathematics, India, Gitam University, Department Of Mathematics, India
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پست الکترونیکی
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ddinesan@gitam.edu
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Authors
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