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Calculation of Pfaffians by a Chip Removal. / Aksenov, V. E.; Kokhas, K. P.

In: Journal of Mathematical Sciences (United States), Vol. 215, No. 6, 01.06.2016, p. 631-648.

Research output: Contribution to journal › Article › peer-review

Harvard

Aksenov, VE & Kokhas, KP 2016, 'Calculation of Pfaffians by a Chip Removal', Journal of Mathematical Sciences (United States), vol. 215, no. 6, pp. 631-648. https://doi.org/10.1007/s10958-016-2870-6

APA

Aksenov, V. E., & Kokhas, K. P. (2016). Calculation of Pfaffians by a Chip Removal. Journal of Mathematical Sciences (United States), 215(6), 631-648. https://doi.org/10.1007/s10958-016-2870-6

Vancouver

Aksenov VE, Kokhas KP. Calculation of Pfaffians by a Chip Removal. Journal of Mathematical Sciences (United States). 2016 Jun 1;215(6):631-648. https://doi.org/10.1007/s10958-016-2870-6

Author

Aksenov, V. E. ; Kokhas, K. P. / Calculation of Pfaffians by a Chip Removal. In: Journal of Mathematical Sciences (United States). 2016 ; Vol. 215, No. 6. pp. 631-648.

BibTeX

@article{8be49647d223434ab1c552ffb1475276,
title = "Calculation of Pfaffians by a Chip Removal",
abstract = "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{\textquoteright}s graphical condensation method. Numerous examples are given. Bibliography: 10 titles.",
keywords = "White Vertex, External Edge, Matching Number, Chip Removal, External Vertex",
author = "Aksenov, {V. E.} and Kokhas, {K. P.}",
note = "Aksenov, V.E., Kokhas, K.P. Calculation of Pfaffians by a Chip Removal. J Math Sci 215, 631–648 (2016). https://doi.org/10.1007/s10958-016-2870-6",
year = "2016",
month = jun,
day = "1",
doi = "10.1007/s10958-016-2870-6",
language = "English",
volume = "215",
pages = "631--648",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - Calculation of Pfaffians by a Chip Removal

AU - Aksenov, V. E.

AU - Kokhas, K. P.

N1 - Aksenov, V.E., Kokhas, K.P. Calculation of Pfaffians by a Chip Removal. J Math Sci 215, 631–648 (2016). https://doi.org/10.1007/s10958-016-2870-6

PY - 2016/6/1

Y1 - 2016/6/1

N2 - 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. Bibliography: 10 titles.

AB - 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. Bibliography: 10 titles.

KW - White Vertex

KW - External Edge

KW - Matching Number

KW - Chip Removal

KW - External Vertex

UR - http://www.scopus.com/inward/record.url?scp=84966667749&partnerID=8YFLogxK

U2 - 10.1007/s10958-016-2870-6

DO - 10.1007/s10958-016-2870-6

M3 - Article

AN - SCOPUS:84966667749

VL - 215

SP - 631

EP - 648

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -

ID: 37050452