A generalized sufficient condition for the existence of a (unique) simple solution curve defined by f i (x 1 , x 2 ,…, x n ) = 0 for i = 1, 2. … n − 1 is developed. the condition is deduced based on a parametric representation of a solution curve. Modified networks having identical ( n − 1) network equations are generated and topological criteria associated with the sufficient condition are obtained from the examination of modified networks.
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Yun et al. (1983) studied this question.
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