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@article{157080, author = {Dr. Asha Saraswathi B.}, title = {SOME REALIZABLE AND NONREALIZABLE LATTICE OF CONVEX EDGE SETS.}, journal = {International Journal of Innovative Research in Technology}, year = {}, volume = {9}, number = {6}, pages = {88-92}, issn = {2349-6002}, url = {https://ijirt.org/article?manuscript=157080}, abstract = {Let G be a connected directed graph and E(G) be the directed edge set of G. A subset C of E(G) is said to be convex if for any , there is a directed path containing and the edge set of every geodesic is contained in C. Let Con(G) be the set of all convex edge sets of G together with empty set partial ordered by set inclusion relation. Then Con(G) forms a lattice if and only if G has an Euler trial. In this paper some realizable and nonrealizable lattice of convex edge sets is discussed.}, keywords = {Lattices, Chains, Connected digraphs, Convex edge sets MSC: 06B99, 05C20, 05C38}, month = {}, }
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