A Topological Formula for the Variations of Vertex-Potentials in Networks
Summary :
A formula for the variations in vertex-potentials caused by an increase of an edge-weight is derived using topological methods. This formula can be expressed in terms of the increase of the weight and the potential differences between two vertices joined by the edge with respect to three ordered vertex-pairs in the original network before the weight is increased.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E75-A No.7 pp.954-956
- Publication Date
- 1992/07/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- LETTER
- Category
- Graphs, Networks and Matroids
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Kimio SATO, Norio NISHIZUKA, "A Topological Formula for the Variations of Vertex-Potentials in Networks" in IEICE TRANSACTIONS on Fundamentals,
vol. E75-A, no. 7, pp. 954-956, July 1992, doi: .
Abstract: A formula for the variations in vertex-potentials caused by an increase of an edge-weight is derived using topological methods. This formula can be expressed in terms of the increase of the weight and the potential differences between two vertices joined by the edge with respect to three ordered vertex-pairs in the original network before the weight is increased.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e75-a_7_954/_p
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@ARTICLE{e75-a_7_954,
author={Kimio SATO, Norio NISHIZUKA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Topological Formula for the Variations of Vertex-Potentials in Networks},
year={1992},
volume={E75-A},
number={7},
pages={954-956},
abstract={A formula for the variations in vertex-potentials caused by an increase of an edge-weight is derived using topological methods. This formula can be expressed in terms of the increase of the weight and the potential differences between two vertices joined by the edge with respect to three ordered vertex-pairs in the original network before the weight is increased.},
keywords={},
doi={},
ISSN={},
month={July},}
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TY - JOUR
TI - A Topological Formula for the Variations of Vertex-Potentials in Networks
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 954
EP - 956
AU - Kimio SATO
AU - Norio NISHIZUKA
PY - 1992
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E75-A
IS - 7
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - July 1992
AB - A formula for the variations in vertex-potentials caused by an increase of an edge-weight is derived using topological methods. This formula can be expressed in terms of the increase of the weight and the potential differences between two vertices joined by the edge with respect to three ordered vertex-pairs in the original network before the weight is increased.
ER -
English
