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Graph Theory and Algorithms
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- RIDGECUT: Learning Graph Partitioning with Rings and Wedges
Qize Jiang, Angelo Zangari, Linsey Pang, Alice Gatti, Mahima Aggarwal, Giovanna Vantini, Xiaosong Ma, Weiwei Sun, Sourav Medya, Sanjay Chawla · 16. Juni 2026
Reinforcement learning (RL) has shown promise for combinatorial optimization problems on graphs by learning heuristics that generalize across instances. However, effectively incorporating domain knowledge into RL frameworks for graph partitioning remains challenging, as existing approaches typically…
- Using Reinforcement Learning to Optimize the Global and Local Crossing Number
Timo Brand, Henry F\"orster, Stephen Kobourov, Daniel Kohrt, Robin Schukrafft, Markus Wallinger, Johannes Zink · 16. Juni 2026
Graph drawing concerns the algorithmic visualization of graphs. A good drawing of a graph is easy to read and facilitates solving tasks on the graph. Several properties have been identified to occur in good drawings of graphs. Such properties include a low number of crossings, large angles between e…
- IntentKV: Cross-Turn Intent-Aware KV Cache Pruning for Agent Inference
Junjie Li, Jiong Lou, Jie Li · 10. Juni 2026
Multi-turn LLM agents fan short queries into long trajectories of tool calls, search results, and intermediate reasoning. Both KV memory and KV read bandwidth grow by orders of magnitude across a single trajectory, making the key-value (KV) cache, not parameter compute, the dominant serving bottlene…
- When Parallelism Pays Off: Cohesion-Aware Task Partitioning for Multi-Agent Coding
Xu Yang, Lunyiu Nie, Ethan Chandra, Stanislav Gannutin, Fangru Lin, Swarat Chaudhuri · 2. Juni 2026
Multi-agent Large Language Model (LLM) systems offer a way to decompose complex tasks, such as coding, through parallelization and context isolation. However, adding agents in practice introduces inter-agent communication overhead, which incurs extra cost and can sometimes offset the efficiency gain…
- NGDBench: Towards Neural Graph Data Management
Yufei Li, Yisen Gao, Jiaxuan Xiong, Jiaxin Bai, Shijie Zhong, Haoyu Huang, Zhongwei Xie, Hong Ting Tsang, Yangqiu Song · 1. Juni 2026
Data critical to real-world decision-making is increasingly found within organizations. Such data is heterogeneous, constantly evolving, and only imperfectly captured. However, current data management systems remain largely passive, retrieving what is explicitly stored while offering limited support…
- DynaGraph: Lightweight Multi-Model Interaction Framework via Dynamic Topological Reconfiguration
Yanxing Guo, Zihao Zheng, Fangzhou Wu, Ling Liang, Lin Bao, Zongwei Wang, Yimao Cai · 29. Mai 2026
Tackling complex reasoning tasks typically relies on massive monolithic LLMs, which suffer from severe computational redundancy. While task decomposition through structured pipelines or multi-agent collaborations offers an alternative, these approaches inevitably fall into a critical dilemma: predef…
- Qrita: High-performance Top-k and Top-p using Pivot-based Truncation and Selection
Jongseok Park, Sunga Kim, Alvin Cheung, Ion Stoica · 27. Mai 2026
Despite their importance in model sampling, efficient implementation of Top-k and Top-p algorithms for large vocabularies remains a significant challenge. Existing approaches often rely on sorting, which incurs significant computation and memory overhead on GPUs, or on stochastic approaches that alt…
- Subspace Aggregation Query and Index Generation for Multidimensional Resource Space Model
Xiaoping Sun, Hai Zhuge · 26. Mai 2026
Organizing large-scale resources in a multidimensional semantic space is an approach to efficiently managing and querying resources from different semantic dimensions. To support advanced applications, this paper proposes a resource space model for aggregation query on subspaces defined by a range w…
- TGFormer: Towards Temporal Graph Transformer with Auto-Correlation Mechanism
Hongjiang Chen, Pengfei Jiao, Ming Du, Xuan Guo, Zhidong Zhao, Di Jin, Xiao Liu · 26. Mai 2026
The growing interest in Temporal Graph Neural Networks (TGNNs) stems from their ability to model complex dynamics and deliver superior performance. However, TGNNs encounter fundamental challenges in capturing long-term dependencies and identifying periodic patterns. To address these limitations, we …
- Building Deep Graph Predictors with Graph Imitation Learning
Andr\'e Eberhard, Gerhard Neumann, Pascal Friederich · 21. Mai 2026
Recent years have seen substantial progress in neural generation of text, images, and audio, supported by mature training pipelines and large-scale optimization. For graphs, however, comparable progress has been more limited. We attribute this gap to graph-specific optimization and representation ch…
- LARGER: Lexically Anchored Repository Graph Exploration and Retrieval
Yuntong Hu, Tongli Su, Liang Zhao, Bowen Zhu, Hasibul Haque · 19. Mai 2026
Repository-level coding agents must first localize the files and symbols relevant to a task; failures at this stage can cascade across downstream objectives ranging from patch generation to test writing and codebase question answering. Existing agents navigate repositories primarily through lexical …
- Bridging the Gap between Sparse Matrix Reordering and Factorization: A Deep Learning Framework for Fill-in Reduction
Ziwei Li, Tao Yuan, Shuzi Niu, Huiyuan Li · 19. Mai 2026
Sparse matrix reordering can significantly reduce the fill-in during matrix factorization, thereby decreasing the computational and storage requirements in sparse matrix computations. Finding a minimal fill-in ordering is known to be an NP-hard problem. Moreover, there is a paradox: matrix reorderin…
- Self-Supervised Learning for Sparse Matrix Reordering
Ziwei Li, Tao Yuan, Fangfang Liu, Shuzi Niu, Huiyuan Li, Wenjia Wu · 19. Mai 2026
Rearranging the rows or columns of a sparse matrix using an appropriate ordering can significantly reduce fill-ins, i.e., new nonzeros introduced during matrix factorization, decreasing memory usage and runtime. However, finding an ordering that minimizes fill-ins is NP-complete. Existing approaches…
- On the Identifiability of Causal Graphs with the Invariance Principle
Francesco Montagna · 15. Mai 2026
Causal discovery from i.i.d. observational data is known to be generally ill-posed. We demonstrate that if we have access to the distribution {induced} by a structural causal model, and additional data from (in the best case) \textit{only two} environments that sufficiently differ in the noise stati…
- Graph Neural Networks with Triangle-Based Messages for the Multicut Problem
Jannik Irmai, Lucas Fabian Naumann, Bjoern Andres · 14. Mai 2026
The multicut problem is an NP-hard combinatorial optimization problem with diverse applications in fields such as bioinformatics, data mining and computer vision. Graph neural networks have been defined for the multicut problem but can be adapted further to its specific objective function and constr…
- Graph Normalization: Fast Binarizing Dynamics for Differentiable MWIS
Laurent Guigues · 8. Mai 2026
We introduce Graph Normalization (GN), a principled dynamical system on graphs that serves as a differentiable approximation engine for the NP-hard Maximum Weight Independent Set (MWIS) problem. MWIS encompasses many combinatorial challenges, including optimal assignment, scheduling, set packing, an…
- Graph Query Generation with Constraint-guided Large Language Agents
Mengying Wang, Nicolaas Jedema, Rahul Pandey, RaviKiran Krishnan, Jens Lehmann, Yinghui Wu · 6. Mai 2026
Knowledge Graph Question Answering (KGQA) has advanced through structured query generation, yet most efforts target RDF/SPARQL, leaving Cypher and property graphs underexplored, despite increasing demand for unified KGQA in industry settings. We propose UniQGen, a novel constraint-based framework th…
- StreamIndex: Memory-Bounded Compressed Sparse Attention via Streaming Top-k
Jaber Jaber, Osama Jaber · 5. Mai 2026
DeepSeek-V3.2 and V4 introduce Compressed Sparse Attention (CSA): a lightning indexer (a learned scoring projection over compressed keys) scores them, the top-k are selected per query, and a sparse attention kernel reads only those. Public CSA implementations materialize a [B, S, H_I, T] FP32 score …
- A Short Note on Batch-efficient Divide-and-Conquer Algorithm for EigenDecomposition
Yue Song · 1. Mai 2026
EigenDecomposition (ED) is at the heart of many computer vision algorithms and applications. One crucial bottleneck limiting its usage is the expensive computation cost, particularly for a mini-batch of matrices in deep neural networks. Our previous work proposed a dedicated QR-based ED algorithm fo…
- Memanto: Typed Semantic Memory with Information-Theoretic Retrieval for Long-Horizon Agents
Seyed Moein Abtahi, Rasa Rahnema, Hetkumar Patel, Neel Patel, Majid Fekri, Tara Khani · 27. April 2026
The transition from stateless language model inference to persistent, multi session autonomous agents has revealed memory to be a primary architectural bottleneck in the deployment of production grade agentic systems. Existing methodologies largely depend on hybrid semantic graph architectures, whic…
- SynthPID: P&ID digitization from Topology-Preserving Synthetic Data
Suraj Prasad, Pinak Mahapatra · 21. April 2026
Automating the digitization of Piping and Instrumentation Diagrams (P&IDs) into structured process graphs would unlock significant value in plant operations, yet progress is bottlenecked by a fundamental data problem: engineering drawings are proprietary, and the entire community shares a single pub…
- Heat and Mat\'ern Kernels on Matchings
Dmitry Eremeev, Salem Said, Viacheslav Borovitskiy · 17. April 2026
Applying kernel methods to matchings is challenging due to their discrete, non-Euclidean nature. In this paper, we develop a principled framework for constructing geometric kernels that respect the natural geometry of the space of matchings. To this end, we first provide a complete characterization …
- RegD: Hierarchical Embeddings via Dissimilarity between Arbitrary Euclidean Regions
Hui Yang, Jiaoyan Chen · 15. April 2026
Hierarchical data is common in many domains like life sciences and e-commerce, and its embeddings often play a critical role. While hyperbolic embeddings offer a theoretically grounded approach to representing hierarchies in low-dimensional spaces, current methods often rely on specific geometric co…
- Symmetry-Aware Generative Modeling through Learned Canonicalization
Kusha Sareen, Daniel Levy, Arnab Kumar Mondal, S\'ekou-Oumar Kaba, Tara Akhound-Sadegh, Siamak Ravanbakhsh · 14. April 2026
Generative modeling of symmetric densities has a range of applications in AI for science, from drug discovery to physics simulations. The existing generative modeling paradigm for invariant densities combines an invariant prior with an equivariant generative process. However, we observe that this te…
- ReLU Networks for Exact Generation of Similar Graphs
Mamoona Ghafoor, Tatsuya Akutsu · 8. April 2026
Generation of graphs constrained by a specified graph edit distance from a source graph is important in applications such as cheminformatics, network anomaly synthesis, and structured data augmentation. Despite the growing demand for such constrained generative models in areas including molecule des…
