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I'm excited to share my #Math paper, alphaxiv.org/abs/2501.00614
It is my constructive #ProofByContradicton of the Seymour Second Neighborhood Conjecture, using #DataStructures and #Algorithms, #BFS and #coding intuition and rigor to #Research this #OpenProblem in #GraphTheory.

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I'm excited to share my #Math paper, alphaxiv.org/abs/2501.00614
It is my constructive #ProofByContradicton of the Seymour Second Neighborhood Conjecture, using #DataStructures and #Algorithms, #BFS and #coding intuition and rigor to #Research this #OpenProblem in #GraphTheory.

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Parent nodes have a burden: they do not want their degrees to double. 
Children can assist by load balancing: forming cycles in the following neighborhoods.
The children also have this burden. 
These dual burdens and load balancing shrink neighborhoods and yield a contradiction

Parent nodes have a burden: they do not want their degrees to double. Children can assist by load balancing: forming cycles in the following neighborhoods. The children also have this burden. These dual burdens and load balancing shrink neighborhoods and yield a contradiction

I'm excited to share my latest #Math paper, alphaxiv.org/abs/2501.00614
It is my constructive #ProofByContradicton of the Seymour Second Neighborhood Conjecture, using #DataStructures and #Algorithms, #BFS and #coding intuition and rigor to solve this #OpenProblem in #GraphTheory.

4 0 1 0
Post image

I'm excited to share my latest #Math paper, alphaxiv.org/abs/2501.00614
It is my constructive #ProofByContradicton of the Seymour Second Neighborhood Conjecture, using #DataStructures and #Algorithms, #BFS and #coding intuition and rigor to solve this #OpenProblem in #GraphTheory.

7 3 0 0
Post image

I'm excited to share my latest #Math paper, alphaxiv.org/abs/2501.00614
It is my constructive #ProofByContradicton of the Seymour Second Neighborhood Conjecture, using #DataStructures and #Algorithms, #BFS and #coding intuition and rigor to solve this #OpenProblem in #GraphTheory.

3 0 0 0
Preview
An Algorithmic Approach to Finding Degree-Doubling Nodes in Oriented Graphs | alphaXiv View recent discussion. Abstract: The Seymour Second Neighborhood Conjecture (SSNC) claims that there will always exist a node whose out-degree doubles in the square of an oriented graph. In this pape...

I'm excited to share my latest #Math paper, alphaxiv.org/abs/2501.00614
It is my constructive #ProofByContradicton of the Seymour Second Neighborhood Conjecture, using #DataStructures and #Algorithms, #BFS and #coding intuition and rigor to solve this #OpenProblem in #GraphTheory.

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