Studies on convex structures with emphasis on convexity in graphs

K. S. Parvathy, A. Vijayakumar · Dyuthi Digital Repository (Cochin University of Science and Technology) · 1995

Background of the work 10 1.3 Gist of the thesis 23 CHAPTER 11 CONVEX SIMPLE ORAPHS &RD IK~BaVAL MONOTONICITY 30 2.1 Distance convex simple graphs and totally non interval monotone graphs 30 2.2 Minimal path convexity and m-convex simple graphs 44 2.3 Iteration number 57 CHAPTER III CONVEX SIMPLE GRAPHS ABD SOLVABILITY 67 3.1 Solvable trees 67 3.2 Center of distance convex simple graph 79 3.3 Convexity properties of product of graphs 82 CHAPTER IV CONVEXITY FOR THE BooE 8~OP A GRAPH 91 4.1 Cyclic convexity 92 4.2 Convex invariants 98

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