On the number of dissimilar pfaffian orientations of graphs

Marcelo H. de Carvalho; Cláudio L. Lucchesi; U. S. R. Murty

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (2005)

  • Volume: 39, Issue: 1, page 93-113
  • ISSN: 0988-3754

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de Carvalho, Marcelo H., Lucchesi, Cláudio L., and Murty, U. S. R.. "On the number of dissimilar pfaffian orientations of graphs." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 39.1 (2005): 93-113. <http://eudml.org/doc/245927>.

@article{deCarvalho2005,
author = {de Carvalho, Marcelo H., Lucchesi, Cláudio L., Murty, U. S. R.},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
keywords = {perfect matching; Pfaffian graph; matching covered graphs},
language = {eng},
number = {1},
pages = {93-113},
publisher = {EDP-Sciences},
title = {On the number of dissimilar pfaffian orientations of graphs},
url = {http://eudml.org/doc/245927},
volume = {39},
year = {2005},
}

TY - JOUR
AU - de Carvalho, Marcelo H.
AU - Lucchesi, Cláudio L.
AU - Murty, U. S. R.
TI - On the number of dissimilar pfaffian orientations of graphs
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 2005
PB - EDP-Sciences
VL - 39
IS - 1
SP - 93
EP - 113
LA - eng
KW - perfect matching; Pfaffian graph; matching covered graphs
UR - http://eudml.org/doc/245927
ER -

References

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  2. [2] M.H. de Carvalho, C.L. Lucchesi and U.S.R. Murty, Ear decompositions of matching covered graphs. Combinatorica 19 (1999) 151–174. Zbl0929.05064
  3. [3] M.H. de Carvalho, C.L. Lucchesi and U.S.R. Murty, On a conjecture of Lovász concerning bricks. I. The characteristic of a matching covered graph. J. Comb. Theory B 85 (2002) 94–136. Zbl1024.05069
  4. [4] M.H. de Carvalho, C.L. Lucchesi and U.S.R. Murty, On a conjecture of Lovász concerning bricks. II. Bricks of finite characteristic. J. Comb. Theory B 85 (2002) 137–180. Zbl1024.05070
  5. [5] M.H. de Carvalho, C.L. Lucchesi and U.S.R. Murty, Optimal ear decompositions of matching covered graphs. J. Comb. Theory B 85 (2002) 59–93. Zbl1024.05071
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  12. [12] L. Lovász and M.D. Plummer, Matching Theory. Annals of Discrete Mathematics, vol. 29. Elsevier Science (1986). Zbl0618.05001MR859549
  13. [13] W. McCuaig, Brace generation. J. Graph Theory 38 (2001) 124–169. Zbl0991.05086
  14. [14] N. Robertson, P.D. Seymour and R. Thomas, Permanents, Pfaffian orientations and even directed circuits. Ann. Math. 150 (1999) 929–975. Zbl0947.05066
  15. [15] W.T. Tutte, Graph Theory as I Have Known It. Number 11 in Oxford Lecture Ser. Math. Appl. Clarendon Press, Oxford (1998). Zbl0915.05041MR1635397
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