# Graph Isomorphism, Bounded Vertex Valences (Graph Isomorphism Problem)

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## Description

Given two graphs with the degree of each vertex bounded, determine whether they are isomorphic to one another.

## Related Problems

Generalizations: Graph Isomorphism, General Graphs

Related: Graph Isomorphism, Bounded Number of Vertices of Each Color, Graph Isomorphism, Trivalent Graphs, Largest Common Subtree, Subtree Isomorphism

## Parameters

$n$: number of vertices in the larger graph

## Table of Algorithms

Name | Year | Time | Space | Approximation Factor | Model | Reference |
---|---|---|---|---|---|---|

McKay | 1981 | $O((m1 + m2)n^{3} + m2 n^{2} L)$ | ${2}mn+{10}n+m+(m+{4})K+{2}mL$ | Exact | Deterministic | Time |

Schmidt & Druffel | 1976 | $O(n*n!)$ | $O(n^{2})$ | Exact | Deterministic | Time |

Babai | 2017 | {2}^{$O(\log n)$^3} | Exact | Deterministic | Time | |

Babai | 1980 | \exp(n^{\frac{1}{2} + $O({1})$}) | $O(n^{2})$ | Exact | Randomized | Time & Space |