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We work out a graph limit theory for dense interval graphs. The theory developed departs from the usual description of a graph limit as a symmetric function W(x, y) on the unit square, with x and y uniform on the interval (0, 1).
Diaconis P, Holmes S, Janson S.
europepmc +8 more sources
Frequent subgraph mining is a difficult data mining problem aiming to find the exact set of frequent subgraphs into a database of graphs. Current subgraph mining approaches make use of the canonical encoding which is one of the key operations. It is well known that canonical encodings have an exponential time complexity.
Amina Kemmar, Yahia Lebbah, S. Loudni
semanticscholar +3 more sources
A new haplotype block detection method for dense genome sequencing data based on interval graph modeling of clusters of highly correlated SNPs. [PDF]
Kim SA, Cho CS, Kim SR, Bull SB, Yoo YJ.
europepmc +2 more sources
A Note on the Interval Function of a Disconnected Graph
In this note we extend the Mulder-Nebeský characterization of the interval function of a connected graph to the disconnected case. One axiom needs to be adapted, but also a new axiom is needed in addition.
Changat Manoj +3 more
doaj +2 more sources
AbstractLet G be a graph on v labelled vertices with E edges, without loops or multiple edges. Let v → ∞ and let E=E(v) be a function of v such that lim E(v)v23=c. The limit of the probability that a random graph is a unit interval graph, indifference graph or proper interval graph is exp(−43c3).
J. Cohen
semanticscholar +2 more sources
Time Interval-Enhanced Graph Neural Network for Shared-Account Cross-Domain Sequential Recommendation [PDF]
Shared-account cross-domain sequential recommendation (SCSR) task aims to recommend the next item via leveraging the mixed user behaviors in multiple domains.
Lei Guo +5 more
semanticscholar +1 more source
Learning semantic program embeddings with graph interval neural network [PDF]
Learning distributed representations of source code has been a challenging task for machine learning models. Earlier works treated programs as text so that natural language methods can be readily applied.
Yu Wang +3 more
semanticscholar +1 more source
[Formula: see text]-labeling problem ([Formula: see text]-[Formula: see text]) is an important topic in discrete mathematics due to its various applications, like in frequency assignment in mobile communication systems, signal processing, circuit design,
Sk. Amanathulla +2 more
doaj +1 more source
On some subclasses of interval catch digraphs
A digraph G = (V, E) is an interval catch digraph if for each vertex v ∈ V, one can associate an interval on real line and a point within it (say (Iv, pv)) in such a way that uv ∈ E if and only if pv ∈ Iu. It was introduced by Maehara in 1984.
Sanchita Paul, Shamik Ghosh
doaj +1 more source
Signless Laplacian Energy of Interval-Valued Fuzzy Graph and its Applications
An interval-valued fuzzy graph (IVFG) emanates from a fuzzy graph (FG) where the membership is given in interval form. This framework give the user more flexibility in dealing with fuzzy information.
M. Romdhini +4 more
semanticscholar +1 more source

