Let A be incidence matrix of graph G. prove if G has a cycle, then null...

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Let A be incidence matrix of graph G. prove if G has a cycle,then null space of transpose of A is not {0} (there existsnon-trivial solution of (A^T)y=0)

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The statement is true Let G be a simple disconnected graph and uv V G If u and v belong to different components of G then the edge uv E G If u and v belong to the same component of G choose a vertex w in another component of G G has See Answer

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Let A be incidence matrix of graph G. prove if G has a cycle, then null...

80.2K

Verified Solution

Question

Advance Math

Let A be incidence matrix of graph G. prove if G has a cycle,then null space of transpose of A is not {0} (there existsnon-trivial solution of (A^T)y=0)

Answer & Explanation Solved by verified expert

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