# Game of Subh

## Help and Rules

**
Our proposed game (Subh) is as follows: Let us play
on a five node directed graph. Initially there are no edges in the
directed graph. The players alternately add a directed edge between any
pair of nodes, say u and v, provided there is no edge between u
and v already, and there is no edge between v and u. The aim of the first
player is to create a directed Hamiltonian cycle (i.e., a directed cycle that p
asses
through all the nodes of the graph once and only once). The aim of the
second player is to prevent it. The game ends when the first player
creates a Hamiltonian cycle and, hence, the first player wins
or no more directed edges can be added
and, therefore, the second player wins. (Subh is an abbreviation for
Subgraph which is Hamiltonian.)
The first player could use
some or all of the directed edges that the second player has added to
form a Hamiltonian cycle.
**
To Draw an edge between u and v, click on a node u with a mouse by pressing
the mouse key, drag the mouse with mouse key pressed to node v.

Game Source Program

Copy of my paper in Journal of Rec
reational Maths Vol.28(2), pp. 85-92, 96-97