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graph theory

9 items

RESEARCHarXiv CS.AI·4/13/2026

Parameterized Complexity Of Representing Models Of MSO Formulas

This paper extends Courcelle's theorem by showing that models of MSO2 formulas with free variables can be represented with decision diagrams whose size is parameterized linearly. It establishes parameterized linear upper bounds for sentential decision diagrams (SDD) based on treewidth and ordered binary decision diagrams (OBDD) based on pathwidth.

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RESEARCHarXiv CS.LG·22d ago

AdaGraph: A Graph-Native Clustering Algorithm That Overcomes the Curse of Dimensionality and Enables Scientific Discovery

AdaGraph is a graph-native clustering algorithm from the Structure-Centric Machine Learning (SC-ML) paradigm, which fundamentally dissolves the curse of dimensionality by replacing geometry-centric computation with topology-based computation. Operating within kNN graph topology, it requires no a priori specification of cluster numbers, handles noise, and scales effectively.

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RESEARCHarXiv CS.LG·29d ago

Path-Based Gradient Boosting for Graph-Level Prediction

We propose PathBoost, a gradient tree boosting method for graph-level classification and regression, which learns discriminative path-based features directly from the input graph structure. This method introduces adaptations for binary classification, incorporates multiple node and edge attributes, and automatically selects anchor nodes, outperforming or matching graph neural networks and graph kernel approaches on several benchmark datasets.

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