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Detours In Graphs

Published 16 Jul 2025 in math.CO | (2507.12086v1)

Abstract: A detour in a graph is a longest path. This thesis is mainly about connected, non-traceable graphs with the property that each vertex is the start (or end) vertex of a detour. There are also related results on claw-free, 2-connected, non-traceable graphs, and maximal non-traceable graphs.

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