Bi-flows on a network

Hisayasu KURATA; Maretsugu YAMASAKI

doi:10.14492/hokmj/1470053291

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Home > Journals > Hokkaido Math. J. > Volume 44 > Issue 2 > Article

June 2015 Bi-flows on a network

Hisayasu KURATA, Maretsugu YAMASAKI

Hokkaido Math. J. 44(2): 203-220 (June 2015). DOI: 10.14492/hokmj/1470053291

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Abstract

Flows on a network play an important role in the theory of discrete harmonic functions. In the study of discrete bi-harmonic functions, we encounter a concept of bi-flows. In this paper, we are concerned with minimization problems for bi-flows which are analogous to those for flows.

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Hisayasu KURATA. Maretsugu YAMASAKI. "Bi-flows on a network." Hokkaido Math. J. 44 (2) 203 - 220, June 2015. https://doi.org/10.14492/hokmj/1470053291