Add crate doc front-page, and update readme

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//! Graph models and algorithms.
//!
//! This crate provides data structures to model graphs and to perform algorithms on these data
//! structures. The functionality presented is designed to be easy to use, flexible, and performant.
//!
//! Currently supported are:
//!
//! * Undirected graph types [`Graph`] and [`AppendGraph`] built on a flat, index-based adjacency
//! list,
//! * [`VertexMap`] and [`EdgeMap`] to freely associate custom data with vertices and edges,
//! * Connectivity and pathing algorithms: [Dijkstra's algorithm], [DFS], and [BFS] in different
//! variants,
//! * Exposed traits to implement custom graph data structures or algorithms.
//!
//! # Usage example
//!
//! This example demonstrates some of this library's features.
//!
//! ```
//! // Brings commonly used traits into scope.
//! use grapherity::prelude::*;
//! use grapherity::models::Graph;
//! use grapherity::algorithms;
//!
//! let mut graph = Graph::new();
//! // Creates a map for edge weights with a default weight.
//! let mut weights = graph.edge_map(1);
//! // Adds three vertices and two edges.
//! let v1 = graph.add_vertex();
//! let v2 = graph.add_vertex();
//! let v3 = graph.add_vertex();
//! graph.add_edge(v1, v2);
//! let e = graph.add_edge(v2, v3);
//! // Sets a non-default weight for the second edge.
//! weights[e] = 5;
//!
//! // Checks the number of vertices.
//! assert_eq!(graph.vertex_count(), 3);
//! // Checks the number of edges.
//! assert_eq!(graph.edge_count(), 2);
//! // Checks that v1 and v2 are adjacent.
//! assert!(graph.are_adjacent(v1, v2));
//! // Checks that v1 and v3 are not adjacent.
//! assert!(!graph.are_adjacent(v1, v3));
//! // Checks the sum of all vertex degrees.
//! let sum: usize = graph.vertices().map(|v| graph.degree(v)).sum();
//! assert_eq!(sum, 1 + 2 + 1);
//!
//! // Calls Dijkstra's algorithm using the edge weights to find the shortest path from v1 to v3.
//! let result = algorithms::dijkstra(&graph, v1, |e| weights[e]);
//! assert_eq!(result.distances[v3], Some(1 + 5));
//! assert_eq!(result.predecessors[v3], Some(v2));
//!
//! // Deletes the middle vertex and its incident edges.
//! graph.delete_vertex(v2);
//!
//! // Calls Dijkstra's algorithm again on the now disconnected graph.
//! let result = algorithms::dijkstra(&graph, v1, |e| weights[e]);
//! assert_eq!(result.distances[v3], None);
//! assert_eq!(result.predecessors[v3], None);
//! ```
//!
//! # Graph types
//!
//! [`Graph`] and [`AppendGraph`] both implement [`GraphTopology`] using a flat, index-based adjacency
//! list to store edges, which means that vertex and edge insertions happen in `O(1)`. Degree
//! lookups are also `O(1)`.
//!
//! [`Graph`] additionally implements [`GraphTopologyDeletion`], thereby supporting deletion of
//! vertices and edges.
//!
//! [`AppendGraph`] does not support deletion, vertices and edges can only be added, allowing it to
//! be smaller and more performant compared to [`Graph`] by not requiring the per-element generation
//! tracking needed for stable handles after deletion.
//!
//! # Vertices and edges
//!
//! Graphs in this library use stable indices [`GraphTopology::Vertex`] and [`GraphTopology::Edge`]
//! to denote vertices and edges. This means that vertices and edges returned by graph functions
//! never change, even if the underlying graph data structure is mutated. However, vertices and
//! edges can become invalid when the denoted element is deleted. Code using an invalid vertex or
//! edge in a graph method will panic.
//!
//! ```should_panic
//! # use grapherity::prelude::*;
//! # use grapherity::models::Graph;
//! let mut graph = Graph::new();
//! let v = graph.add_vertex();
//! graph.delete_vertex(v);
//! // This will panic because 'v' was deleted and is not valid anymore.
//! graph.degree(v);
//! ```
//!
//! [`VertexMap`] and [`EdgeMap`] are not required to panic if provided with an invalid
//! vertex or edge.
//!
//! Vertices and edges are provided by the graph and not intended to be generated by users.
//!
//! # Loops and multi-edges
//!
//! Loops and multi edges are supported as well. In the following example, `v1` will have two loops
//! and two edges to `v2`.
//!
//! ```
//! # use grapherity::prelude::*;
//! # use grapherity::models::Graph;
//! let mut graph = Graph::new();
//! let v1 = graph.add_vertex();
//! let v2 = graph.add_vertex();
//! for _ in 0..2 {
//! graph.add_edge(v1, v1);
//! graph.add_edge(v1, v2);
//! }
//! assert_eq!(graph.edge_count(), 4);
//! assert_eq!(graph.degree(v1), 6);
//! ```
//!
//! [BFS]: crate::algorithms::bfs
//! [Dijkstra's algorithm]: crate::algorithms::dijkstra
//! [DFS]: crate::algorithms::dfs
//! [`EdgeMap`]: crate::maps::EdgeMap
//! [`VertexMap`]: crate::maps::VertexMap
//! [`AppendGraph`]: crate::models::AppendGraph
//! [`Graph`]: crate::models::Graph
//! [`GraphTopology`]: crate::traits::GraphTopology
//! [`GraphTopology::Edge`]: crate::traits::GraphTopology::Edge
//! [`GraphTopology::Vertex`]: crate::traits::GraphTopology::Vertex
//! [`GraphTopologyDeletion`]: crate::traits::GraphTopologyDeletion
#![warn(missing_docs)]
pub mod algorithms;