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The Generalized Independent Set (GIS) problem extends the classical maximum independent set problem by incorporating profits for vertices and penalties for edges. This generalized problem has been identified in diverse applications in…

Information Retrieval · Computer Science 2026-04-06 Yiping Liu , Yi Zhou , Zhenxiang Xu , Mingyu Xiao , Jin-Kao Hao

Hybridizing machine learning techniques with metaheuristics has attracted significant attention in recent years. Many attempts employ supervised or reinforcement learning to support the decision-making of heuristic methods. However, in some…

Machine Learning · Computer Science 2026-02-25 Bruna C. B. Charytitsch , Mariá C. V. Nascimento

We introduce a new framework for reconfiguration problems, and apply it to independent sets as the first example. Suppose that we are given an independent set $I_0$ of a graph $G$, and an integer $l \ge 0$ which represents a lower bound on…

Discrete Mathematics · Computer Science 2018-04-26 Takehiro Ito , Haruka Mizuta , Naomi Nishimura , Akira Suzuki

Inductive $k$-independent graphs generalize chordal graphs and have recently been advocated in the context of interference-avoiding wireless communication scheduling. The NP-hard problem of finding maximum-weight induced $c$-colorable…

Discrete Mathematics · Computer Science 2019-02-26 Matthias Bentert , René van Bevern , Rolf Niedermeier

Reinforcement learning control algorithms face significant challenges due to out-of-distribution and inefficient exploration problems. While model-based reinforcement learning enhances the agent's reasoning and planning capabilities by…

Machine Learning · Computer Science 2025-03-19 Sunbowen Lee , Yicheng Gong , Chao Deng

Connected and automated vehicles have shown great potential in improving traffic mobility and reducing emissions, especially at unsignalized intersections. Previous research has shown that vehicle passing order is the key influencing factor…

Robotics · Computer Science 2022-04-29 Chaoyi Chen , Qing Xu , Mengchi Cai , Jiawei Wang , Jianqiang Wang , Biao Xu , Keqiang Li

We present a novel algorithm that fuses the existing convex-programming based approach with heuristic information to find optimality guarantees and near-optimal paths for the Shortest Path Problem in the Graph of Convex Sets (SPP-GCS). Our…

Optimization and Control · Mathematics 2025-04-22 Kaarthik Sundar , Sivakumar Rathinam

We introduce a problem class we call Polynomial Constraint Satisfaction Problems, or PCSP. Where the usual CSPs from computer science and optimization have real-valued score functions, and partition functions from physics have monomials,…

Discrete Mathematics · Computer Science 2010-01-14 Alexander D. Scott , Gregory B. Sorkin

Model-driven software engineering is a suitable method for dealing with the ever-increasing complexity of software development processes. Graphs and graph transformations have proven useful for representing such models and changes to them.…

Software Engineering · Computer Science 2023-07-19 Alexander Lauer

Graph reasoning agents operating from natural-language inputs must solve a coupled problem: they must reconstruct a structured graph instance from text, decide whether existing computational assets are sufficient, interact with tools under…

Artificial Intelligence · Computer Science 2026-05-12 Zike Yuan , Yukun Cao , Han Zhang , Jianzhi Yan , Le Liu , Cai ke , Yue Yu , Hui Wang , Ming Liu , Bing Qin

Despite the Graph Neural Networks' (GNNs) proficiency in analyzing graph data, achieving high-accuracy and interpretable predictions remains challenging. Existing GNN interpreters typically provide post-hoc explanations disjointed from…

Machine Learning · Computer Science 2024-07-26 Zhenhua Huang , Kunhao Li , Shaojie Wang , Zhaohong Jia , Wentao Zhu , Sharad Mehrotra

Graph self-supervised learning typically relies on large-scale unlabeled datasets, heavily inflating computational costs. However, empirical evidence suggests that these datasets contain substantial redundancy-our analysis reveals that…

Machine Learning · Computer Science 2026-05-05 Chuang Liu , Zelin Yao , Xueqi Ma , Luzhi Wang , Mukun Chen , Pinghua Xu , Wenbin Hu

Interpretable Multi-Task Learning can be expressed as learning a sparse graph of the task relationship based on the prediction performance of the learned models. Since many natural phenomenon exhibit sparse structures, enforcing sparsity on…

Machine Learning · Computer Science 2020-09-14 Francesco Alesiani , Shujian Yu , Ammar Shaker , Wenzhe Yin

Subgraph counting aims to count the occurrences of a subgraph template T in a given network G. The basic problem of computing structural properties such as counting triangles and other subgraphs has found applications in diverse domains.…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-12 Langshi Chen , Jiayu Li , Ariful Azad , Lei Jiang , Madhav Marathe , Anil Vullikanti , Andrey Nikolaev , Egor Smirnov , Ruslan Israfilov , Judy Qiu

An instance of the graph-constrained max-cut (GCMC) problem consists of (i) an undirected graph G and (ii) edge-weights on a complete undirected graph on the same vertex set. The objective is to find a subset of vertices satisfying some…

Data Structures and Algorithms · Computer Science 2018-10-18 Jon Lee , Viswanath Nagarajan , Xiangkun Shen

Recently, graph neural networks (GNNs) have been widely used for document classification. However, most existing methods are based on static word co-occurrence graphs without sentence-level information, which poses three challenges:(1) word…

Computation and Language · Computer Science 2022-03-22 Yinhua Piao , Sangseon Lee , Dohoon Lee , Sun Kim

A dissociation set in a graph is a set of vertices inducing a subgraph of maximum degree at most $1$. Computing the dissociation number ${\rm diss}(G)$ of a given graph $G$, defined as the order of a maximum dissociation set in $G$, is…

Combinatorics · Mathematics 2022-02-03 Felix Bock , Johannes Pardey , Lucia D. Penso , Dieter Rautenbach

Temporal graphs have been recently introduced to model changes to a given network that occur throughout a fixed period of time. The Temporal $\Delta$ Clique problem, that generalizes the well known Clique problem to temporal graphs, has…

Data Structures and Algorithms · Computer Science 2022-10-14 Danny Hermelin , Yuval Itzhaki , Hendrik Molter , Rolf Niedermeier

Most existing methods that address out-of-distribution (OOD) generalization for node classification on graphs primarily focus on a specific type of data biases, such as label selection bias or structural bias. However, anticipating the type…

Machine Learning · Computer Science 2023-11-07 Guoxin Chen , Yongqing Wang , Fangda Guo , Qinglang Guo , Jiangli Shao , Huawei Shen , Xueqi Cheng

Estimating individual treatment effects (ITE) from observational data is a critical task across various domains. However, many existing works on ITE estimation overlook the influence of hidden confounders, which remain unobserved at the…

Machine Learning · Computer Science 2024-12-06 Binbin Hu , Zhicheng An , Zhengwei Wu , Ke Tu , Ziqi Liu , Zhiqiang Zhang , Jun Zhou , Yufei Feng , Jiawei Chen