Abstract
In previous papers, the author defined a notion of admissible functions for digraphs and studied its properties. The notion of admissible functions naturally comes from the study of mean curvature functions of codimension-one foliations, and admissible functions of foliated manifolds are represented by a divergence formula. In this paper, we show that the similar divergence-like formula characterizes admissible functions of digraphs.
Citation
Gen-ichi Oshikiri. "A divergence-like characterization of admissible functions on digraphs." Tohoku Math. J. (2) 56 (2) 147 - 153, 2004. https://doi.org/10.2748/tmj/1113246547
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