Reconstruction of a graph from 2-vicinities of its vertices,
نویسندگان
چکیده
We prove that a connected graph of diameter at least 4 and of girth 7 or more (in particular, a tree) can be exactly reconstructed from metric balls of radius 2 of all its vertices. On the other hand, there exist graphs of diameter 3 and of girth 6 which are not reconstructible. This new graph theory problem is motivated by reconstruction of chemical compounds. © 2007 Published by Elsevier B.V.
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ورودعنوان ژورنال:
- Electronic Notes in Discrete Mathematics
دوره 21 شماره
صفحات -
تاریخ انتشار 2005