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The Reconstruction Conjecture In Graph Theory, Susan M. Loveland
The Reconstruction Conjecture In Graph Theory, Susan M. Loveland
All Graduate Theses and Dissertations, Spring 1920 to Summer 2023
In this paper we show that specific classes of graphs are reconstructible; we explore the relationship between the reconstruction and edge-reconstruction conjectures; we prove that several classes of graphs are actually Harary to the reconstructible; and we give counterexamples reconstruction and edge-reconstruction conjectures for infinite graphs.