图的去点主子图相对同调群的可重构性

ON RECONSTRUCTIBLE RELATIVE HOMOLOGY GROUPS OF A GRAPH MODULO ITS VERTEX-DELETED SUBGRAPHS

本文证明了图与其去点主子图的独立集复形构成的相对同调群族是可重构的；当图满足一定的条件时，图与其去点主子图的邻域复形构成的相对同调群族也是可重构的．

In this paper, it is proved that the set of relative homology groups of I(G)modulo the independence complexes of vertex-deleted subgraphs of G is reconstructible andthe set of relative homology groups of N(G) modulo the neighbourhood complexes of vertexdeleted subgraphs of G is conditionally reconstructible.