Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXIV, Tome 432 (2015), pp. 5-29
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V. E. Aksenov; K. P. Kokhas. Chip removal. Urban Renewal revisited. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XXIV, Tome 432 (2015), pp. 5-29. http://geodesic.mathdoc.fr/item/ZNSL_2015_432_a0/
@article{ZNSL_2015_432_a0,
author = {V. E. Aksenov and K. P. Kokhas},
title = {Chip removal. {Urban} {Renewal} revisited},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {5--29},
year = {2015},
volume = {432},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2015_432_a0/}
}
TY - JOUR
AU - V. E. Aksenov
AU - K. P. Kokhas
TI - Chip removal. Urban Renewal revisited
JO - Zapiski Nauchnykh Seminarov POMI
PY - 2015
SP - 5
EP - 29
VL - 432
UR - http://geodesic.mathdoc.fr/item/ZNSL_2015_432_a0/
LA - ru
ID - ZNSL_2015_432_a0
ER -
%0 Journal Article
%A V. E. Aksenov
%A K. P. Kokhas
%T Chip removal. Urban Renewal revisited
%J Zapiski Nauchnykh Seminarov POMI
%D 2015
%P 5-29
%V 432
%U http://geodesic.mathdoc.fr/item/ZNSL_2015_432_a0/
%G ru
%F ZNSL_2015_432_a0
We describe a new combinatorial-algebraic transformation on graphs which we call “chip removal.” It generalizes the well-known Urban Renewal trick of Propp and Kuperberg. The chip removal is useful in calculations of determinants of adjacency matrices and matching numbers of graphs. A beautiful example of this technique is a theorem on removing four-contact chips, which generalizes Kuo's graphical condensation method. Numerous examples are given.
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