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- W2943780211 abstract "A graph $G$ is emph{nonsingular (singular)} if its adjacency matrix $A(G)$ is nonsingular (singular). In this article, we consider the nonsingularity of block graphs, i.e., graphs in which every block is a clique. Extending the problem, we characterize nonsingular vertex-weighted block graphs in terms of reduced vertex-weighted graphs resulting after successive deletion and contraction of pendant blocks. Special cases where nonsingularity of block graphs may be directly determined are discussed." @default.
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- W2943780211 date "2019-05-06" @default.
- W2943780211 modified "2023-09-29" @default.
- W2943780211 title "Nonsingular (Vertex-Weighted) Block Graphs" @default.
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