Passive Skill Tree - Graph Data

Does anyone have any sort of data representation of the passive skill tree graph in terms of vertices and edges with vertex descriptions? I think this would be particularly useful in theory-crafting builds by allowing to prioritize stats/keystones and finding efficient ways to gain the desired keystones and such. Want to implement an algorithm that would allow for automating this process of generating potential builds.

The skill tree is not a tree, it contains loops. The amount of effort to produce analytical data in a useful form is greater than the amount of effort to manually design original builds.
There exists 3rd party software, which you could google, which allows for theory crafting via the skill tree. Im sure you could extract the graph from it.

I don't really see how you could theory craft like that. I've done a ton of theory crafting so far. Lots of stupid ones and one that looks very viable endgame.

I can kind of see what you are going for, but the passive tree is incredibly generic. About 50% of the nodes are damage for a specific weapon type. There are very few notables that are build defining.

My process is usually along the lines of...
-) How does this keystone/skill/mechanic/damage work?
(How do monster defenses effect it?)
(Do any unique items synergize or have a unique effect on the skill? ~Testing~)

-) What skills or mechanics will this unique's effect affect?
(Are there other unique items that synergize with this unique or the skill?)

-) Will I need any keystone passives?
(Yes? Which class has the shortest distance to the required keystone and attack nodes?)
(No? Which class has the shortest distance to the required attack and defense nodes?)

-) Which type of defense (life, block, evasion, energy shield, armor) do I have more access too?
(What skills can enhance this?)
(Do any unique items synergize or have a unique effect on the skill or defenses? ~Testing~)

Searching the passive tree on the website isn't the easiest, but it gets the job done and fast once you figure out what you're searching for.

The passive tree is a little too complex for these sort of graph theoretic methods to really produce anything of value toward build optimization through analysis. Plus passives are just one small part of the overall character build. It'd simply be impossible to understand a build just by evaluating the passive tree.