IC-861LLMs achieve near-zero accuracy on the disconnected nodes task, indicating an inability to reason about the absence of edges in a graph

Bahare Fatemi, Jonathan Halcrow, Bryan Perozzi

SourceTalk like a Graph: Encoding Graphs for Large Language Models

The paper introduces a task where the LLM is given a graph description and asked to identify nodes NOT directly connected to a given node. This requires reasoning about information that is implicit (not explicitly stated in the encoding). PaLM 62B achieves 0.5% accuracy with zero-shot prompting, and zero-CoT, few-shot, CoT, and CoT-bag methods all achieve close to 0.0% accuracy. The authors attribute this to the graph encoding functions primarily encoding connected nodes, leaving the model without explicit information about absent connections.

Evidence
correlational
Key metric
PaLM 62B disconnected nodes: zero-shot 0.5%, zero-CoT/few-shot/CoT/CoT-bag close to 0.0%
Caveat
The authors note this may be partly an encoding issue (absence not explicitly stated) rather than a pure model limitation.
Model
PaLM 62B
Concepts
Failure mode
Related findings
IC-858, IC-859, IC-860
Extraction
automatic-extraction