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Interval Graph Limits. [PDF]

open access: yesAnn Comb, 2013
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

Interval graph mining

open access: yesInternational Journal of Data Mining, Modelling and Management, 2018
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 Note on the Interval Function of a Disconnected Graph

open access: yesDiscussiones Mathematicae Graph Theory, 2018
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

The asymptotic probability that a random graph is a unit interval graph, indifference graph, or proper interval graph

open access: yesDiscrete Mathematics, 1982
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]

open access: yesIEEE Transactions on Neural Networks and Learning Systems, 2022
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]

open access: yesProc. ACM Program. Lang., 2020
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

-labeling of interval graphs

open access: yesInternational Journal of Mathematics for Industry, 2022
[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

open access: yesElectronic Journal of Graph Theory and Applications, 2022
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

open access: yesSains Malaysiana, 2023
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

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