Fix documentation structure duplication

- Remove duplicate "Examples" heading from examples/index.rst
- Remove redundant example descriptions (already in bglbook/index.rst)
- Rename "Reference Manual" to "API Reference" in main index
- Rename "NWGraph API Reference" to "Core API" to avoid redundancy

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

Author: lums658

doc-src/sphinx/examples/index.rst

@@ -3,46 +3,12 @@
 ..
 .. SPDX-License-Identifier: BSD-3-Clause
 
-========
-Examples
-========
-
 This section presents examples demonstrating how to use NWGraph for various
-graph algorithms and applications. The examples are organized to help you
-understand both the library's capabilities and the underlying algorithms.
+graph algorithms and applications.
 
 .. toctree::
    :maxdepth: 2
-   :caption: Example Categories
 
    bglbook/index
    degrees/index
    imdb/index
-
-BGL Book Examples
------------------
-
-Examples adapted from "The Boost Graph Library" book by Jeremy G. Siek,
-Lie-Quan Lee, and Andrew Lumsdaine (Addison-Wesley, 2002). These demonstrate
-how NWGraph provides similar functionality using modern C++20 idioms.
-
-- **Chapter 3**: Topological Sort - File dependencies
-- **Chapter 4**: BFS and DFS - Kevin Bacon numbers, loop detection
-- **Chapter 5**: Shortest Paths - Dijkstra and Bellman-Ford
-- **Chapter 6**: Minimum Spanning Trees - Kruskal and Prim
-- **Chapter 7**: Connected Components - BFS-based and Tarjan's SCC
-- **Chapter 8**: Maximum Flow - Edmonds-Karp algorithm
-- **Chapter 9**: Implicit Graphs - Knight's Tour
-
-Six Degrees of Separation
--------------------------
-
-A detailed walkthrough showing how to compute "Bacon numbers" using NWGraph,
-demonstrating the "there is no graph" design philosophy by starting from
-raw database records and building graph structures on-the-fly.
-
-IMDB Examples
--------------
-
-Real-world examples using Internet Movie Database data to demonstrate
-graph analysis at scale, including the Oracle of Bacon implementation.

doc-src/sphinx/index.rst

@@ -55,17 +55,14 @@ Examples
 
 
 
-================
-Reference Manual
-================
+=============
+API Reference
+=============
 
 .. toctree::
    :maxdepth: 2
 
    nwgraph_api.rst
-
-
-
    api/library_root
 ..   doxyref/index.rst
 

doc-src/sphinx/nwgraph_api.rst

@@ -3,8 +3,8 @@
 ..
 .. SPDX-License-Identifier: BSD-3-Clause
 
-NWGraph API Reference
-=====================
+Core API
+========
 
 .. highlight:: c++