Permanent Index of Matrices Associated with Graphs

[摘要] A total weighting of a graph $G$ is a mapping $f$ which assigns to each element $z \in V(G) \cup E(G)$ a real number $f(z)$ as its weight. The vertex sum of $v$ with respect to $f$ is $\phi_f(v)=\sum_{e \in E(v)}f(e)+f(v)$. A total weighting is proper if

[学科分类] 离散数学和组合数学

[关键词] Permanent index;Matrix;Total weighting