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 SymposiumPaper 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.}
}
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