Xie, Litong; Song, Huimin; Liu, Guizhen Reconstructibility of \(k\)-distance-local subgraphs rooted at a subgraph. (Chinese. English summary) Zbl 1012.05117 Math. Appl. 15, No. 4, 114-119 (2002). Summary: A \(k\)-distance-local subgraph rooted at a subgraph of a graph is defined and it is proved that the number of \(k\)-distance-local subgraphs of a graph \(G\) which are isomorphic to a given \(k\)-distance-local subgraph rooted at a subgraph is reconstructible. Therefore the results in [L. Xie and H. Fan, Adv. Math., Beijing 26, 440-444 (1997; Zbl 0908.05066)] are generalized. MSC: 05C60 Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) PDF BibTeX XML Cite \textit{L. Xie} et al., Math. Appl. 15, No. 4, 114--119 (2002; Zbl 1012.05117)