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A survey of the studies on Gallai and anti-Gallai graphs | ||
| Communications in Combinatorics and Optimization | ||
| مقاله 8، دوره 6، شماره 1، شهریور 2021، صفحه 93-112 اصل مقاله (501.11 K) | ||
| نوع مقاله: Survey paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2020.26877.1155 | ||
| نویسندگان | ||
| Agnes Poovathingal1؛ Joseph Varghese Kureethara* 1؛ Dinesan Deepthy2 | ||
| 1Christ University, Bangalore, India | ||
| 2Department of Mathematics, GITAM University, Bangalore, India | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Line graph؛ cograph؛ total graph؛ simplicial complex؛ Gallai-mortal graph | ||
| مراجع | ||
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