The authors verify the Hilton-Zhao conjecture that splitting a vertex in an n-vertex connected regular Class 1 graph with Δ(G) ≥ (2n-2)/3 produces an edge-chromatic critical graph.
Vizing,Critical graphs with given chromatic class, Diskretn
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CO 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
On the Hilton-Zhao vertex-splitting conjecture
The authors verify the Hilton-Zhao conjecture that splitting a vertex in an n-vertex connected regular Class 1 graph with Δ(G) ≥ (2n-2)/3 produces an edge-chromatic critical graph.