From 79d188cfa933de2aa7ad087324fdfb9203ef2160 Mon Sep 17 00:00:00 2001
From: Owen Troke-Billard <owen.trokebillard@outlook.com>
Date: Tue, 17 Sep 2024 21:43:08 -0600
Subject: [PATCH] Add example to motivation

---
 README.md | 31 ++++++++++++++++++-------------
 1 file changed, 18 insertions(+), 13 deletions(-)

diff --git a/README.md b/README.md
index 95a2e47..97925cf 100644
--- a/README.md
+++ b/README.md
@@ -20,24 +20,17 @@ It can find
 and [induced subgraph isomorphisms](https://en.wikipedia.org/wiki/Induced_subgraph_isomorphism_problem).
 Graphs can be directed or undirected.
 
-# Features
-
-- [x] Enumerate graph isomorphisms
-- [x] Enumerate subgraph isomorphisms
-- [x] Enumerate induced subgraph isomorphisms
-- [x] Support directed graphs
-- [x] Support undirected graphs
-- [x] Support disconnected graphs
-- [x] Support node labels
-- [x] Support edge labels
-- [x] Graph trait
-
 # Motivation
 
 Subgraph matching is the task of finding instances of a query graph within a larger data graph. It is useful when
-searching for patterns in a graph structure, such as relationships within a social network. It is a fundamental
+searching for patterns in a graph structure, such as searching a graph database. It is a fundamental
 problem in graph theory with applications in pattern recognition, databases, security, and biochemistry.
 
+An illustrative example is finding relationships in social networks. Consider a network like LinkedIn where each node is
+a person, and each edge represents a connection. You are tasked with finding cases where five software developers and a
+doctor all know each other. You can make a query graph with developers and a doctor, and search for instances of that
+query in the larger network.
+
 # What is a subgraph isomorphism?
 
 A graph is a structure consisting of a set of objects where some pairs of objects are connected. A graph isomorphism is
@@ -65,6 +58,18 @@ the data subgraph must also exist in the query graph.
 
 ![induced-subgraph-isomorphism.svg](/images/induced-subgraph-isomorphism.svg)
 
+# Features
+
+- [x] Enumerate graph isomorphisms
+- [x] Enumerate subgraph isomorphisms
+- [x] Enumerate induced subgraph isomorphisms
+- [x] Support directed graphs
+- [x] Support undirected graphs
+- [x] Support disconnected graphs
+- [x] Support node labels
+- [x] Support edge labels
+- [x] Graph trait
+
 # Usage
 
 Add `vf2` to your dependencies in **Cargo.toml**.