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math.CO2022
A matrix for counting paths in acyclic colored digraphs
Sudip Bera
In this paper, we introduce a matrix associate with a -colored acyclic digraph such that enumerates the paths in the digraph…
math.CO2022
Existence of a Non-Zero -Vector in the Row Space of Adjacency Matrices of Simple Graphs
Sudip Bera
We look for a non-zero -vector in the row space of the adjacency matrix of a graph provided has at least one edge. Akbari, Cameron, and Khosrovshahi conject…