A Mongolian tent graph is defined as the graph obtained from the grid graph for odd number
by adding an extra vertex
above the graph and joining every other vertex
of the top row to the additional vertex (Lee 1985,
Gallian 2025).
The -Mongolian
tent graph is isomorphic to the 3-gear graph.
Mongolian tent graphs are graceful (Lee 1985, Gallian 2025). Mongolian tent graphs are also unit-distance.
A Mongolian village is defined as a graph formed by successively amalgamating copies of Mongolian tents with the same number of rows so that adjacent tents share a column (Gallian 2025).
Precomputed properties of Mongolian tent graphs are implemented in the Wolfram Language as GraphData["MongolianTent",
m, n
].