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Sivaraman conjectured that if $G$ is a graph with no induced even cycle thenthere exist sets $X_1, X_2 \subseteq V(G)$ satisfying $V(G) = X_1 \cup X_2$such that the induced graphs $G[X_1]$ and $G[X_2]$ are both chordal. We provethis conjecture in the special case where $G$ contains no sector wheel, namely,a pair $(H, w)$ where $H$ is an induced cycle of $G$ and $w$ is a vertex in$V(G) \setminus V(H)$ such that $N(w) \cap H$ is either $V(H)$ or a path withat least three vertices.

Graphs with no even holes and no sector wheels are the union of two chordal graphs