The Degree Diameter Problem for Circulant Graphs

Table of the orders of the largest known circulant graphs
The following table is the key to the colors in the table presented above:

Table of the lowest upper bounds known at present, and the percentage of the order of the largest known graphs
{| border="1"
 * $$d$$\$$k$$|| 2 || 3 || 4|| 5 ||  6 || 7 ||  8 ||  9 ||  10 ||  11 ||  12
 * 3
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |


 * 4
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |


 * 5
 * align="center" |


 * align="center" |


 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |


 * 6
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |


 * 7
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |


 * 8
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |


 * 9
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |


 * 10
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |


 * 11
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |


 * 12
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |


 * 13
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |


 * 14
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |


 * 15
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |


 * 16
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |


 * 17
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |
 * align="center" |


 * }