Challenge: Graph problems require reasoning over explicit structure, permutation invariance, and computationally complex relationships, creating a mismatch with the representations of text-based models.
Approach: They propose a human-interpretable structural encoding strategy that injects graph structure directly into natural language prompts.
Outcome: The proposed method improves performance on synthetic and real-world datasets.

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Each graph is a new language: Graph Learning with LLMs (2025.findings-acl)

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Challenge: Natural language is used to describe graphs, but graph descriptions become verbose and only relying on attribute embeddings limits LLM’s ability to capture adequate graph structural information.
Approach: They propose a graph-defined language for large language model that translates the graph into a corpus instead of graph descriptions and pre-trains LLMs on this corpus to adequately understand the graph.
Outcome: Experiments on five datasets show that the proposed framework outperforms description-based and embedding-based baselines by efficiently modeling different orders of neighbors.
Which Modality should I use - Text, Motif, or Image? : Understanding Graphs with Large Language Models (2024.findings-naacl)

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Challenge: Current research typically employs limited setups with small real-world graphs.
Approach: They propose a new approach to encoding a graph with diverse modalities, such as text, image, and motif, coupled with prompts to approximate a diagram’s global connectivity.
Outcome: The proposed approach improves performance of LLMs in graph structure analysis by focusing on homophily, motif presence, and graph difficulty.
Exploring Graph Learning Tasks with Pure LLMs: A Comprehensive Benchmark and Investigation (2026.findings-acl)

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Challenge: Recent studies focus on performance benchmarks without fully comparing LLMs to graph learning models.
Approach: They evaluate off-the-shelf and instruction-tuned graph learning models across a variety of scenarios.
Outcome: The proposed models outperform traditional graph learning models in few-shot settings, the authors show . their models out perform models with instruction tuning, and they show excellent generalization and robustness.
Language is All a Graph Needs (2024.findings-eacl)

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Challenge: Existing work on integrating graph problems into generative language modeling framework remains limited.
Approach: They propose an LLM with instructions based on natural language to perform graph tasks.
Outcome: The proposed model surpasses all GNN baselines on ogbn-arxiv, Cora and PubMed datasets and sheds light on generative LLMs as new foundation model for graph machine learning.
Demystifying the Power of Large Language Models in Graph Generation (2025.findings-naacl)

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Challenge: Large Language Models (LLMs) have been used for graph discriminative tasks, but their potential for graph structure generation remains unexplored.
Approach: They propose to use LLMs to generate graphs that optimize network properties by injecting domain expertise from network science into the code.
Outcome: The proposed model generates graphs satisfying each property in different domains and compares it with established graph generative models across multiple domains.
GraphEval36K: Benchmarking Coding and Reasoning Capabilities of Large Language Models on Graph Datasets (2025.findings-naacl)

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Challenge: Large language models (LLMs) have demonstrated significant capabilities in processing and understanding text data.
Approach: They propose a structure-based instruction-based method to enhance LLM performance on complex graph tasks.
Outcome: The proposed framework outperforms open-source models on graph problem-solving, but the gap is narrowing.
Can LLMs Convert Graphs to Text-Attributed Graphs? (2025.naacl-long)

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Challenge: Existing approaches to model graph-structured data are limited by the availability of text-attributed graph data.
Approach: They propose a method to convert existing graphs into text-attributed graphs using large language models.
Outcome: The proposed method outperforms existing approaches that manually design node features on text-free graphs.
GraphInsight: Unlocking Insights in Large Language Models for Graph Structure Understanding (2025.acl-long)

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Challenge: Large language models struggle with comprehending graphical structure information through prompts of graph description sequences, especially as the graph size increases.
Approach: They propose a framework to improve LLMs’ comprehension of both macro- and micro-level graphical information by placing critical graphical data in positions where LLM's exhibit stronger memory performance.
Outcome: The proposed framework outperforms all other graph description methods in understanding graph structures of varying sizes.
Mapping the Minds of LLMs: A Graph-Based Analysis of Reasoning LLMs (2025.emnlp-main)

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Challenge: Large Reasoning Models (LRMs) often display unstable behaviors, e.g., hallucinating unsupported premises, overthinking simple tasks, and displaying higher sensitivity to prompt variations.
Approach: They propose a graph-based analytical framework that clusters long, verbose CoT outputs into semantically coherent reasoning steps, then constructs directed reasoning graphs to capture contextual and logical dependencies among these steps.
Outcome: The proposed framework enables quantitative evaluation of internal reasoning structure and quality beyond conventional metrics and provides practical insights for prompt engineering and cognitive analysis of LLMs.
Graph-Assisted Large Language Models: A Perspective on Mitigating Intrinsic Limitations (2026.findings-acl)

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Challenge: Large language models exhibit intrinsic limitations such as knowledge cutoff, single-threaded reasoning that hinders finer-grained branch and aggregation, and rigid collaboration mechanisms that struggle to coordinate specialized capabilities.
Approach: They propose a taxonomy spanning *Graph-Assisted Knowledge Augmentation*, *Graph Assisted Reasoning and Planning*, and *Graphed LLM Collaboration*.
Outcome: The proposed models show that graphs can augment and correct LLMs and support dynamic coordination among experts and agents in collaborative settings.

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