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Table 2 Matrix representation of GFG1

From: Completeness and regularity of generalized fuzzy graphs

\(\phi\)

\(v_1(\rho (v_1))\)

\(v_2(\rho (v_2))\)

\(\ldots\)

\(v_n(\rho (v_n))\)

\(v_1(\rho (v_1))\)

\(\rho (v_1)\)

\(\phi (\rho (v_1),\rho (v_2))\)

\(\ldots\)

\(\phi (\rho (v_1),\rho (v_n))\)

\(v_2(\rho (v_2))\)

\(\phi (\rho (v_2),\rho (v_1))\)

\(\rho (v_2)\)

\(\ldots\)

\(\phi (\rho (v_2),\rho (v_n))\)

\(\ldots\)

\(\ldots\)

\(\ldots\)

\(\ldots\)

\(\ldots\)

\(v_n(\rho (v_n))\)

\(\phi (\rho (v_n),\rho (v_1))\)

\(\phi (\rho (v_n),\rho (v_2))\)

\(\ldots\)

\(\rho (v_n)\)