If a connected Graph (G) contains n vertices what would be the rank of its incidence matrix?Group of answer choicesn-1values greater than n are possiblevalues less than n-1 are possibleinsufficient Information is given
Question
If a connected Graph (G) contains n vertices what would be the rank of its incidence matrix?Group of answer choicesn-1values greater than n are possiblevalues less than n-1 are possibleinsufficient Information is given
Solution
The rank of the incidence matrix of a connected graph with n vertices is n-1. This is because the incidence matrix of a connected graph is always of rank n-1, where n is the number of vertices in the graph. This is a fundamental property of incidence matrices and connected graphs.
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