 Generic
Number - 1526 |
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| Written
Date -
May 16th, 14 |
| Modified
Date -
May 16th, 14 |
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| Summary |
For a connected graph $G$, there are orientations of $G$ have
different hull numbers, geodetic numbers, and convexity numbers. The
lower orientable hull number $h^- (G)$ is defined as the minimum
hull number among all the orientations of $G$ and the upper
orientable hull number $h^+ (G)$ as the maximum hull number among
all the orientations of $G$. The lower and upper orientable geodetic
numbers $g^- (G)$ and $g^+ (G)$ are defined similarily. In this
paper, We investigate characterizations of the orientable numbers
and the conditions that the relation $h^- (G) \leq g^- (G) < h^+ (G)
\leq g^+ (G)$ holds. |
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THE ORIENTABLE NUMBERS OF A GRAPH
