Biclique graph of bipartite permutation graphs. Groshaus, M., Guedes, A. L. P., & Puppo, J. P. Electronic Notes in Discrete Mathematics, 62:33-38, 2017. LAGOS'17 – IX Latin and American Algorithms, Graphs and Optimization Symposium
Biclique graph of bipartite permutation graphs [link]Paper  doi  abstract   bibtex   
Abstract The biclique graph KB(G) is the intersection graph of bicliques of a graph G. The aim of our work is to recognize graphs that are biclique graphs of bipartite permutation graphs. In this paper we prove that the biclique graph of a bipartite permutation graph is a K1,4-free interval graph, and we present a characterization of such graphs and a characterization of a subclass that leads to a polynomial time recognition algorithm.
@Article{GroshausGuedesPuppo2017,
   title        = {Biclique graph of bipartite permutation graphs},
   journal      = {Electronic Notes in Discrete Mathematics},
   volume       = {62},
   pages        = {33-38},
   year         = {2017},
   note         = {LAGOS'17 – {IX} Latin and American Algorithms, Graphs
                  and Optimization Symposium},
   issn         = {1571-0653},
   doi          = {10.1016/j.endm.2017.10.007},
   url                                                                 =
                  {https://www.sciencedirect.com/science/article/pii/S1571065317302457},
   abstract_url                                                        =
                  {https://lipn.univ-paris13.fr/Lagos2017/abstracts_final_short.pdf},
   author       = {M. Groshaus and A. L. P. Guedes and J. P. Puppo},
   keywords     = {Bicliques},
   keywords     = {Biclique graphs},
   keywords     = {Bipartite permutation graphs},
   _keywords    = {Universal2016},
   abstract     = {Abstract The biclique graph KB(G) is the intersection
                  graph of bicliques  of a graph G. The aim  of our work
                  is  to recognize  graphs that  are biclique  graphs of
                  bipartite permutation  graphs. In this paper  we prove
                  that  the biclique  graph of  a bipartite  permutation
                  graph is a K1,4-free interval  graph, and we present a
                  characterization of such graphs and a characterization
                  of  a  subclass  that   leads  to  a  polynomial  time
                  recognition algorithm.}
}

Downloads: 0