Proposal: Implement Distributed Balanced Partitioning via Linear Embedding (DBP-LE)

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**Describe the feature:**
This proposal suggests implementing the **Distributed Balanced Partitioning via Linear Embedding (DBP-LE)** algorithm — originally developed by Aydin, Bateni & Mirrokni (Google Research, WSDM 2016) — as an optional graph partitioning strategy in JanusGraph.

DBP-LE addresses the challenge of *balanced partitioning* in large distributed graphs by:
1. Embedding vertices into a one-dimensional linear order using affinity (common-neighbor similarity).
2. Performing local refinements via *Minimum Linear Arrangement (MinLA)* and *RankSwap*.
3. Applying imbalance-aware postprocessing (sliding-window min-cut / DP optimization).

The output is a vertex ordering and balanced partition boundaries that minimize edge cuts between partitions.

This algorithm is highly scalable (MapReduce-friendly), easy to integrate with JanusGraph’s backend partitioner, and has been validated on real-world production graphs (Google Maps, Twitter, Friendster).

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**Describe a specific use case for the feature:**
Distributed graph deployments in JanusGraph currently rely on simple hash or range partitioning, or external partitioners such as METIS.
These methods either:
- don’t scale to billions of edges, or
- produce suboptimal cut quality (leading to excessive cross-partition traversals).

Integrating DBP-LE as a native partitioning strategy would:

* Improve query performance and reduce network I/O by minimizing cross-machine edges.
* Provide balanced data distribution across storage backends.
* Enable better performance for iterative analytics (e.g., PageRank, Connected Components, community detection).
* Support machine-learning workloads (e.g., GNN training) that require balanced graph mini-batches with minimal boundary communication.

Example configuration:
```yaml
storage.partition.strategy: dbp_linear_embedding
storage.partition.alpha: 0.03
storage.partition.parts: 16

Additional context / references:

Paper: Distributed Balanced Partitioning via Linear Embedding — Aydin, Bateni, Mirrokni, WSDM 2016. DOI: [10.1145/2835776.2835829](https://doi.org/10.1145/2835776.2835829)

Expected benefits:

15–25 % reduction in edge cut size vs. METIS/FENNEL.

40 % fewer cross-shard queries in Google Maps case study.

Linear scalability to hundreds of millions of vertices.

Start by reviewing JanusGraph's backend partitioner and the cited DBP-LE paper, then compare the proposal with existing hash, range, and external partitioning approaches. The work is done when DBP-LE is integrated as an optional strategy with the proposed configuration and produces balanced partitions with reduced edge cuts.

Written by the indexing model from the issue text.