# Advanced Graph Theory Research

**Type:** Topics  
**Canonical URL:** https://scholariq.org/topics/advanced-graph-theory-research/

## Facts

| Field | Value |
| --- | --- |
| Description | This cluster of papers represents advances in graph theory and algorithms, focusing on topics such as parameterized complexity, fixed-parameter algorithms, constraint satisfaction problems, treewidth, kernelization, complexity classification, approximation algorithms, and homomorphism. The papers cover a wide range of algorithmic applications and theoretical developments in the field of graph theory. |
| Domain | Physical Sciences |
| Field | Computer Science |
| OpenAlex ID | t10374 |
| Works | 14 |

## Topic papers all

- [Nonconstructive tools for proving polynomial-time decidability](https://scholariq.org/papers/nonconstructive-tools-for-proving-polynomial-time-decidability/)
- [Iterative Methods in Combinatorial Optimization](https://scholariq.org/papers/iterative-methods-in-combinatorial-optimization/)
- [A Randomized Rounding Approach to the Traveling Salesman Problem](https://scholariq.org/papers/a-randomized-rounding-approach-to-the-traveling-salesman-problem/)
- [Kernelization Algorithms for the Vertex Cover Problem: Theory and Experiments.](https://scholariq.org/papers/kernelization-algorithms-for-the-vertex-cover-problem-theory-and-experiments/)
- [Approximating minimum bounded degree spanning trees to within one of optimal](https://scholariq.org/papers/approximating-minimum-bounded-degree-spanning-trees-to-within-one-of-optimal-2/)
- [Crown Structures for Vertex Cover Kernelization](https://scholariq.org/papers/crown-structures-for-vertex-cover-kernelization/)
- [Survivable Network Design with Degree or Order Constraints](https://scholariq.org/papers/survivable-network-design-with-degree-or-order-constraints-2/)
- [Survivable network design with degree or order constraints](https://scholariq.org/papers/survivable-network-design-with-degree-or-order-constraints/)
- [Improved Approximation Ratios for Traveling Salesperson Tours and Paths in Directed Graphs](https://scholariq.org/papers/improved-approximation-ratios-for-traveling-salesperson-tours-and-paths-in/)
- [Ore’s condition for completely independent spanning trees](https://scholariq.org/papers/ore-s-condition-for-completely-independent-spanning-trees/)
- [L'Indeformabilite des Relations et Multirelations Binaires](https://scholariq.org/papers/l-indeformabilite-des-relations-et-multirelations-binaires/)
- [The C3-structure of the tournaments](https://scholariq.org/papers/the-c3-structure-of-the-tournaments/)
- [Irreducible reaction systems and reaction system rank](https://scholariq.org/papers/irreducible-reaction-systems-and-reaction-system-rank/)
- [Modeling Rooted in‐Trees by Finite p‐Groups](https://scholariq.org/papers/modeling-rooted-in-trees-by-finite-p-groups/)

## Topic primary papers

- [Iterative Methods in Combinatorial Optimization](https://scholariq.org/papers/iterative-methods-in-combinatorial-optimization/)
- [Kernelization Algorithms for the Vertex Cover Problem: Theory and Experiments.](https://scholariq.org/papers/kernelization-algorithms-for-the-vertex-cover-problem-theory-and-experiments/)
- [Ore’s condition for completely independent spanning trees](https://scholariq.org/papers/ore-s-condition-for-completely-independent-spanning-trees/)
- [L'Indeformabilite des Relations et Multirelations Binaires](https://scholariq.org/papers/l-indeformabilite-des-relations-et-multirelations-binaires/)
- [The C3-structure of the tournaments](https://scholariq.org/papers/the-c3-structure-of-the-tournaments/)

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Source: ScholarIQ — public research metadata, principally OpenAlex. See https://scholariq.org/sources/ for provenance and https://scholariq.org/methodology/ for what these figures mean.