Document MaxFlow

[swilly22]

Summary by CodeRabbit

• Documentation
  • Added a "Network Flow Algorithms" section and a comprehensive MaxFlow guide describing problem setup, multi-source/multi-sink support, execution overview (residual graph and augmenting flows), reported outputs (nodes, edges, per-edge flows, total maxFlow), example usage, configuration options, and complexity notes.
  • Updated wordlist with three new terms: subgraph, maxFlow, modelled

[coderabbitai]

No actionable comments were generated in the recent review. 🎉

ℹ️ Recent review info

⚙️ Run configuration

Configuration used: defaults

Review profile: CHILL

Plan: Pro

Run ID: 16b3ed69-aafe-4d55-a24b-abeb5b68341d

📥 Commits

Reviewing files that changed from the base of the PR and between 70283a0 and a49c283.

📒 Files selected for processing (1)

• .wordlist.txt

✅ Files skipped from review due to trivial changes (1)

• .wordlist.txt

---

📝 Walkthrough

Walkthrough

Added a new "Network Flow Algorithms" section to algorithms/index.md and a detailed algorithms/maxflow.md page documenting a max-flow procedure, usage, configuration, examples, and complexity; updated .wordlist.txt with three new terms.

Changes

Cohort / File(s)	Summary
Algorithm Documentation algorithms/index.md, algorithms/maxflow.md	Inserted "Network Flow Algorithms" in the index and added a MaxFlow documentation page describing directed graphs with capacities, virtual super-nodes for multiple sources/sinks, residual graph and augmenting-path flow procedure, Cypher CALL algo.maxFlow(config) outputs (nodes, edges, edgeFlows, maxFlow), config parameters (sourceNodes, targetNodes, relationshipTypes, optional capacityProperty, nodeLabels), examples, and complexity O(V · E²).
Dictionary / Wordlist .wordlist.txt	Removed a blank line and added three terms: subgraph, maxFlow, modelled.

Estimated code review effort

🎯 1 (Trivial) | ⏱️ ~2 minutes

Poem

🐰 I hopped through graphs where pathways flow,
Nudging capacities row by row,
From many sources to sinks below,
I tally edges with a gentle glow,
MaxFlow found — and off I go! ✨

🚥 Pre-merge checks | ✅ 3

✅ Passed checks (3 passed)

Check name	Status	Explanation
Description Check	✅ Passed	Check skipped - CodeRabbit’s high-level summary is enabled.
Title check	✅ Passed	The pull request title 'Document MaxFlow' directly and clearly summarizes the main change: adding documentation for the MaxFlow algorithm across three files (index.md, maxflow.md, and wordlist.txt).
Docstring Coverage	✅ Passed	No functions found in the changed files to evaluate docstring coverage. Skipping docstring coverage check.

_{✏️ Tip: You can configure your own custom pre-merge checks in the settings.}

✨ Finishing Touches

🧪 Generate unit tests (beta)

• Create PR with unit tests
• Commit unit tests in branch maxflow

---

Thanks for using CodeRabbit! It's free for OSS, and your support helps us grow. If you like it, consider giving us a shout-out.

❤️ Share

• X
• Mastodon
• Reddit
• LinkedIn

_{Comment @coderabbitai help to get the list of available commands and usage tips.}

[coderabbitai]

Actionable comments posted: 3

🤖 Prompt for all review comments with AI agents

Verify each finding against the current code and only fix it if needed.

Inline comments:
In `@algorithms/index.md`:
- Line 61: Replace the link text token "MaxFlow" with "Max Flow" in the
algorithms list item that links to "./maxflow.md" so the displayed text matches
the page title and satisfies spellcheck; update the markdown line that currently
contains **[MaxFlow](./maxflow.md)** to use **[Max Flow](./maxflow.md)**.

In `@algorithms/maxflow.md`:
- Around line 70-74: The fenced diagram block containing "(A) --[cap:10]--> (B)
--[cap:8]--> (C)" is missing a language tag which triggers markdownlint MD040;
update that fenced code block (the triple-backtick fence that wraps the diagram)
to include a language identifier such as "text" (i.e., change ``` to ```text) so
the diagram block is properly tagged.
- Around line 30-33: In algorithms/maxflow.md update the flagged terms to
satisfy the spellchecker: replace any occurrence of the British spelling
"modelled" with the project-preferred "modeled" and normalize "subgraph" to the
single-word form "subgraph" (or, if your team prefers the current spellings, add
"modelled" and/or "subgraph" to the project dictionary used by the docs
pipeline); make these edits where the words appear in the file so the CI
spellcheck no longer fails.

---

ℹ️ Review info

⚙️ Run configuration

Configuration used: defaults

Review profile: CHILL

Plan: Pro

Run ID: d950d58f-7a6f-49de-8caa-cd964bb54c51

📥 Commits

Reviewing files that changed from the base of the PR and between 33c3b09 and f96280c.

📒 Files selected for processing (2)

• algorithms/index.md
• algorithms/maxflow.md

[coderabbitai]

⚠️ Potential issue | 🟡 Minor

Add a language tag to the fenced diagram block.

This fence is missing a language identifier, which triggers markdownlint MD040.

Suggested fix

-```
+```text
 (A) --[cap:10]--> (B) --[cap:8]--> (C)
  \                                  ^
   \----------[cap:5]---------------/

</details>

<details>
<summary>🧰 Tools</summary>

<details>
<summary>🪛 markdownlint-cli2 (0.21.0)</summary>

[warning] 70-70: Fenced code blocks should have a language specified

(MD040, fenced-code-language)

</details>

</details>

<details>
<summary>🤖 Prompt for AI Agents</summary>

Verify each finding against the current code and only fix it if needed.

In @algorithms/maxflow.md around lines 70 - 74, The fenced diagram block
containing "(A) --[cap:10]--> (B) --[cap:8]--> (C)" is missing a language tag
which triggers markdownlint MD040; update that fenced code block (the
triple-backtick fence that wraps the diagram) to include a language identifier
such as "text" (i.e., change totext) so the diagram block is properly
tagged.

</details>

<!-- fingerprinting:phantom:triton:hawk -->

<!-- This is an auto-generated comment by CodeRabbit -->