The Graph Isomorphism Problem

This problem is a special case of the subgraph isomorphism problem, which asks whether a given graph G contains a subgraph that is isomorphic to another given ...

Landmark Algorithm Breaks 30-Year Impasse - Quanta Magazine

The “graph isomorphism” question simply asks if two networks that look different are really the same. Michael Sollami for Quanta Magazine. A ...

What is the significance of the graph isomorphism problem?

The subgraph isomorphism problem is known to be NP-complete. This is the problem of deciding, given graphs G and H, whether G is isomorphic to some subgraph of ...

Easy-to-understand implementation of graph isomorphism? - Reddit

Well, as you probably know, the graph isomorphism problem is NP-complete. So we don't have any efficient algorithm to do it. All algorithms ...

Group, graphs, algorithms: the Graph Isomorphism Problem

Graph Isomorphism (GI) is one of a small number of natural algorithmic problems with unsettled complexity status in the P / NP theory: not expected to be NP- ...

Algorithm for determining if 2 graphs are isomorphic - Stack Overflow

Two graphs are isomorphic if and only if for some ordering of their vertices their adjacency matrices are equal.

The Graph Isomorphism Problem - Communications of the ACM

Graph isomorphism (GI) gained prominence in the theory community in the 1970s, when it emerged as one of the few natural problems in the ...

The Graph Isomorphism Problem: Its Structural Complexity

A variety ofresults on the complexitystatusofthegraph isomorphism problem has been obtained. These results belong to the so-called structural part of ...

What is the simplest graph isomorphism algorithm? - Quora

One of the simplest ideas is that of Graph Invariants using which you can quickly test for non-isomorphism.

Graph-Isomorphism in polynomial time : r/math - Reddit

The general consensus is that graph isomorphism is unlikely to be NP-complete. If it is NP-complete, the polynomial hierarchy would collapse.

What evidence is there that Graph Isomorphism is not in $P

Subgraph-isomorphism is also NP-complete. · Somewhat weak evidence is the growing class of problems that are logspace-equivalent to GI, yet none ...

Subgraph isomorphism problem - Wikipedia

Subgraph isomorphism problem ... In theoretical computer science, the subgraph isomorphism problem is a computational task in which two graphs G and H are given ...

The graph isomorphism problem | Communications of the ACM

Graph isomorphism in quasipolynomial time. In Proceedings of the 48 th Annual ACM Symposium on Theory of Computing (STOC'16, 2016), 684--697.

The Graph Isomorphism Problem - ERA - University of Alberta

Author(s) / Creator(s). Fortin, Scott · Technical report TR96-20. The graph isomorphism problem can be easily stated: check to see if two graphs that look ...

Proof that Subgraph Isomorphism problem is NP-Complete

To prove that a problem is NP-Complete, we have to show that it belongs to both NP and NP-Hard Classes.

The Graph Isomorphism Algorithm - Four Color Theorem

Graphs GA and GB are said to be isomorphic if their vertices can be rearranged so that the corresponding edge structure is exactly the same. To show that graphs ...

[1710.09526] On Graph Isomorphism Problem - arXiv

The problem of determining whether or not two given graphs are isomorphic is called Graph Isomorphism Problem (GI).

Graph isomorphism—Characterization and efficient algorithms

The Graph isomorphism problem involves determining whether two graphs are isomorphic and the computational complexity required for this determination. In ...

The Graph Isomorphism Story by Prof. V. Arvind - YouTube

The Graph Isomorphism problem is the algorithmic problem of checking whether two graphs are isomorphic (i.e. checking if they are ...

[2011.01366] Recent Advances on the Graph Isomorphism Problem

We give an overview of recent advances on the graph isomorphism problem. Our main focus will be on Babai's quasi-polynomial time isomorphism test.