Nice paper building on top of [the WebGraph framework](https://papers-gamma.link/paper/31) and [Chierichetti et al.](https://papers-gamma.link/paper/126) to compress graphs.
### Approximation guarantee
I read: "our algorithm is inspired by a theoretical approach
with provable guarantees on the final quality, and it is designed to directly optimize the resulting compression ratio.".
I misunderstood initially, but the proposed algorithm actually does not have any provable approximation guarantee other than the $\log(n)$ one (which is also obtained by a random ordering of the nodes).
Designing an algorithm with (a better) approximation guarantee for minimizing "MLogA", "MLogGapA" or "BiMLogA" seems to be a nice open problem.
### Objectives
Is there any better objective than "MLogA", "MLogGapA" or "BiMLogA" to have a proxy of the compression obtained by the BV-framework?
Is it possible to directly look for an ordering that minimizes the size of the output of BV compression algorithm?
Nice paper building on top of [the WebGraph framework](https://papers-gamma.link/paper/31) and [Chierichetti et al.](https://papers-gamma.link/paper/126) to compress graphs.
### Approximation guarantee
I read: "our algorithm is inspired by a theoretical approach
with provable guarantees on the final quality, and it is designed to directly optimize the resulting compression ratio.".
I misunderstood initially, but the proposed algorithm actually does not have any provable approximation guarantee other than the $\log(n)$ one (which is also obtained by a random ordering of the nodes).
Designing an algorithm with (a better) approximation guarantee for minimizing "MLogA", "MLogGapA" or "BiMLogA" seems to be a nice open problem.
### Objectives
Is there any better objective than "MLogA", "MLogGapA" or "BiMLogA" to have a proxy of the compression obtained by the BV-framework?
Is it possible to directly look for an ordering that minimizes the size of the output of BV compression algorithm?
Comments:
Edited by Maximimi at 2019-02-15 14:35:57