Show that the Petersen graph is a unit-distance graph. Here is also a seemingly easier question: Is there a positive integer k such that every finite unit-distance graph of girth at least k has ...

In recent years, a number of researchers have gained insight by fitting graphs to their data and then using these graphs to solve various problems. They have employed simply defined graphs that are ...

When to choose Knowledge Graphs vs. Vector DBs. Specific use cases where Vector DBs excel are in RAG systems designed to assist customer service representatives.

Specifically, we showcase the obstacles of vectorizing graph algorithms and propose a graph representation suited for long vector architectures. We evaluate our work implementing three graph ...

Specifically, we showcase the obstacles of vectorizing graph algorithms and propose a graph representation suited for long vector architectures. We evaluate our work implementing three graph ...