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20 papers · 1 filter
Maximum Biclique for Star 1,2,3 -free and Bounded Bimodularwidth Twin-free Bipartite Graphs
Fabien de Montgolfier, Renaud Torfs
There are three usual definitions of a maximum bipartite clique (biclique) in a bipartite graph\,: either maximizing the number of vertices, or of edges, or finding a maximum balan…
Generalized Hofstadter functions and beyond: numeration systems and discrepancy
Pierre Letouzey
Hofstadter's function is recursively defined via and then . Following Hofstadter, a family of similar functions is obtained by varying the nu…
Pointwise order of generalized Hofstadter functions G, H and beyond
Pierre Letouzey, Shuo Li, Wolfgang Steiner
Hofstadter's G function is recursively defined via and then . Following Hofstadter, we vary the number of nested recursive calls in this equation and…
Stochastic Graph Transformation For Social Network Modeling
Nicolas Behr, Bello Shehu Bello, Sebastian Ehmes +1
Adaptive networks model social, physical, technical, or biological systems as attributed graphs evolving at the level of both their topology and data. They are naturally described…
Classifying grounded intersection graphs via ordered forbidden patterns
Laurent Feuilloley, Michel Habib
It was noted already in the 90s that many classic graph classes, such as interval, chordal, and bipartite graphs, can be characterized by the existence of an ordering of the vertic…
Morphisms and minimisation of weighted automata
Sylvain Lombardy, Jacques Sakarovitch
This paper studies the algorithms for the minimisation of weighted automata. It starts with the definition of morphisms-which generalises and unifies the notion of bisimulation to…