Nandi, RajuRajuNandiSivakumar, K. C.K. C.Sivakumar2025-08-312025-08-312024-02-0110.1007/s40314-023-02544-y2-s2.0-85181265028http://repository.iitgn.ac.in/handle/IITG2025/29046A formula for the group inverse of trees, obtained recently, is shown to be applicable to a special class of weighted graphs G<inf>w</inf> studied here. Certain handpicked results, which hold for bipartite graphs, are shown to be true for this class.falseAdjacency matrix | Alternating path | Group inverse of a graph | Maximum matching | Weighted graphArticle18070302February 20240380WOS:001135886200002