Mathematics > Combinatorics
[Submitted on 31 Jul 2018 (v1), last revised 9 Mar 2020 (this version, v2)]
Title:Size reconstructibility of graphs
View PDFAbstract:The deck of a graph $G$ is given by the multiset of (unlabelled) subgraphs $\{G-v:v\in V(G)\}$. The subgraphs $G-v$ are referred to as the cards of $G$. Brown and Fenner recently showed that, for $n\geq29$, the number of edges of a graph $G$ can be computed from any deck missing 2 cards. We show that, for sufficiently large $n$, the number of edges can be computed from any deck missing at most $\frac1{20}\sqrt{n}$ cards.
Submission history
From: Hannah Guggiari [view email][v1] Tue, 31 Jul 2018 09:58:50 UTC (9 KB)
[v2] Mon, 9 Mar 2020 22:31:53 UTC (11 KB)
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