An attractive class of bipartite graphs

Rodica Boliac; Vadim Lozin

Discussiones Mathematicae Graph Theory (2001)

  • Volume: 21, Issue: 2, page 293-301
  • ISSN: 2083-5892

Abstract

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In this paper we propose a structural characterization for a class of bipartite graphs defined by two forbidden induced subgraphs. We show that the obtained characterization leads to polynomial-time algorithms for several problems that are NP-hard in general bipartite graphs.

How to cite

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Rodica Boliac, and Vadim Lozin. "An attractive class of bipartite graphs." Discussiones Mathematicae Graph Theory 21.2 (2001): 293-301. <http://eudml.org/doc/270378>.

@article{RodicaBoliac2001,
abstract = {In this paper we propose a structural characterization for a class of bipartite graphs defined by two forbidden induced subgraphs. We show that the obtained characterization leads to polynomial-time algorithms for several problems that are NP-hard in general bipartite graphs.},
author = {Rodica Boliac, Vadim Lozin},
journal = {Discussiones Mathematicae Graph Theory},
keywords = {bipartite graphs; structural characterization; polynomial algorithm; polynomial-time algorithms},
language = {eng},
number = {2},
pages = {293-301},
title = {An attractive class of bipartite graphs},
url = {http://eudml.org/doc/270378},
volume = {21},
year = {2001},
}

TY - JOUR
AU - Rodica Boliac
AU - Vadim Lozin
TI - An attractive class of bipartite graphs
JO - Discussiones Mathematicae Graph Theory
PY - 2001
VL - 21
IS - 2
SP - 293
EP - 301
AB - In this paper we propose a structural characterization for a class of bipartite graphs defined by two forbidden induced subgraphs. We show that the obtained characterization leads to polynomial-time algorithms for several problems that are NP-hard in general bipartite graphs.
LA - eng
KW - bipartite graphs; structural characterization; polynomial algorithm; polynomial-time algorithms
UR - http://eudml.org/doc/270378
ER -

References

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  3. [3] K. Cameron, Induced matchings, Discrete Appl. Math. 24 (1989) 97-102, doi: 10.1016/0166-218X(92)90275-F. Zbl0687.05033
  4. [4] G. Chaty and M. Chein, Ordered matchings and matchings without alternating cycles in bipartite graphs, Utilitas Mathematica 16 (1979) 183-187. Zbl0446.05037
  5. [5] E. Dahlhaus, The computation of the jump number of convex graphs, Lecture Notes in Computer Science 831 (1994) 176-185, doi: 10.1007/BFb0019434. Zbl0953.05510
  6. [6] G. Fricke and R. Laskar, Strong matchings on trees, Congr. Numer 89 (1992) 239-243. Zbl0786.05065
  7. [7] M.C. Golumbic and M. Lewenstein, New results on induced matchings, Discrete Appl. Math. 101 (2000) 157-165, doi: 10.1016/S0166-218X(99)00194-8. 
  8. [8] A. Kötzig, Paare Hajös the Graphen, Casopis Pest. Mat. 88 (1963) 236-241. 
  9. [9] H. Müller, Alternating cycle free matchings in chordal bipartite graphs, Order 7 (1990) 11-21, doi: 10.1007/BF00383169. Zbl0805.68091
  10. [10] G. Steiner and L. Stewart, A linear time algorithm to find the jump number of 2-dimensional bipartite orders, Order 3 (1987) 359-367, doi: 10.1007/BF00340778. Zbl0622.06002
  11. [11] M. Zito, Linear time maximum induced matching algorithm for trees, Nordic J. Computing 7 (2000) 58-63. Zbl0957.68095

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