Dem Bones Solution
~~~~~~~~~~~~~~~~~~

* Each bone is a letter: add up the pips and apply the modifier.  For example the "4 / 1" domino with a "-4" modifier is "4 + 1 - 4", or "1", which becomes "A".

* The bones connect up in one long string following standard domino pip-matching rules.

letter  Value   Dot1    Dot2    Modifier
J       10      0       3       7
A       1       3       2       -4
C       3       2       9       -8
K       11      9       0       2
S       19      0       8       11
K       11      8       4       -1
E       5       4       6       -5
L       12      6       1       5
L       12      1       5       6
I       9       5       6       -2
N       14      6       1       7
G       7       1       8       -2
T       20      8       5       7
O       15      5       4       6
N       14      4       6       4
S       19      6       0       13
D       4       0       7       -3
O       15      7       9       -1
G       7       9       0       -2


Jack Skellington's Dog from "Nightmare Before Christmas" is named "Zero."