Light emitting diode driving circuit and light emitting diode array device

A light emitting diode array apparatus comprising:

• K number of first light emitting diodes connected in a row by n number of first middle junction points between first and second junction points, each of the first middle junction points having electrodes of identical polarity connected thereto, where n is an integer satisfying n≧2 and K is an integer satisfying K≧3,
• wherein the electrodes connected to the first middle junction points have polarities arranged alternately from the first junction point, starting with a first polarity;
• L number of second light emitting diodes connected in a row by n number of second middle junction points between the first and second junction points, each of the second middle junction points having electrodes of identical polarity connected thereto, where L is an integer satisfying L≧3,
• wherein the electrodes connected to the second middle junction points have polarities arranged alternately from the first junction point, starting with a second polarity;
• and
• M number of third light emitting diodes connected between the first and second middle junction points each having an identical sequence from the first junction point, each of the third light emitting diodes having an electrode connected to have an opposite polarity to a corresponding one of the electrodes of the first and second light emitting diodes, and M is an integer satisfying M≧n.

A light emitting diode driving circuit comprising:

• at least one ladder network circuit including:
• (n+1) number of first branches connected in parallel with one another by n number of first middle junction points between a first junction point and a second junction point, where n denotes an integer satisfying n≧2,
• (n+1) number of second branches connected in parallel with one another by n number of second middle junction points between the first junction point and the second junction point, the (n+1) number of second branches connected in parallel with the first branches;
• and
• n number of middle branches connecting the first and second middle junction points of an identical m sequence to each other, respectively, and m is a positive integer defining sequences of the respective (n+1) first and second branches and the n number of middle branches with respect to the first junction point,
• wherein combinations of the first branches, the second braches and the middle branches form X number of polygons having at least three sides, each of the sides being defined by one of the first branches, the second braches and the middle branches,
• wherein each side of the X number polygons has at least one light emitting diode, which emits light when activated by current passing therethrough, and, in each of the X number polygons, light emitting diodes located on at least two sides are activated, and X is the smallest number of polygons made by the first branches, the second branches, and the middle branches.