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Kirchhoff Graphs

By Fehribach, Joseph D.

Kirchhoff Graphs

By Fehribach, Joseph D.

0 - Default Title
Description
Kirchhoff graphs are a new type of graph, one whose edges are vectors. They depict the dependencies in sets of vectors, and in this regard, they are akin to matroids. Indeed every binary matroid is Kirchhoff graphic. If the vectors in the set represent the stoichiometry of a reaction network (chemical, electrochemical or otherwise), a Kirchhoff graph is a circuit diagram for that reaction network. This book discusses the basic definitions for Kirchhoff graphs, their connections to matroids and finite fields, their connections to reaction networks and use as circuit diagrams, Kirchhoff graph uniformity, prime, composite and fundamental Kirchhoff graphs, and the structure of families of Kirchhoff graphs. They been studied by the author and his collaborators since 2005, and this book presents what we have learned in the past twenty years.

Product details
Edition:
1
Number of Pages:
190
Release Date:
2025-12-29
Publication Date:
2025-11-15
Publisher:
Walter de Gruyter
Languages:
Original: English
ISBN10:
3111406245
ISBN13:
9783111406244
GPSR Manufacturer Reference:
[email protected]
Weight:
424 g
Height:
178 cm
Width:
237 cm
Thickness:
15 cm
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