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It has 104 edges and 52 vertices and is currently the smallest known example of a 4-regular matchstick graph. [3] It is a rigid graph. [4] Every 4-regular matchstick graph contains at least 20 vertices. [5] Examples of 4-regular matchstick graphs are currently known for all number of vertices ≥ 52 except for 53, 55, 56, 58, 59, 61 and 62.
207 is a Wedderburn-Etherington number. [1] There are exactly 207 different matchstick graphs with eight edges. [2] [3] 207 is a deficient number, as 207's proper divisors (divisors not including the number itself) only add up to 105: + + + + = <.
Every matchstick graph is a planar graph, [14] but some otherwise-planar unit distance graphs (such as the Moser spindle) have a crossing in every representation as a unit distance graph. Additionally, in the context of unit distance graphs, the term 'planar' should be used with care, as some authors use it to refer to the plane in which the ...
Denver is located in northeastern Lancaster County at (40.233859, -76.137088 It is bordered to the southeast by Reamstown and to the southwest by Stevens. Interstate 76, the Pennsylvania Turnpike, passes through the northern side of the borough, with the closest access 3 miles (5 km) to the east at Exit 286 (U.S. Route 222).
Denver requires RNOs to re-register annually, so the complete list is subject to change; as of 2024, 180 RNOs are included in the city's catalog. [8] RNOs often correspond closely to official neighborhood names and boundaries, however names or boundaries may also derive from non-official neighborhoods, community or business interests, or ...
A parity graph (the unique smallest cubic, matchstick graph) that is neither distance-hereditary nor bipartite. In graph theory, a parity graph is a graph in which every two induced paths between the same two vertices have the same parity: either both paths have odd length, or both have even length. [1]
Curtis–Champa Streets Historic District is located in Denver, Colorado. It was added to the National Register of Historic Places in 1975 and is bounded by Arapahoe, 30th, California, and 24th Sts. covering 870 acres and 356 buildings. [2]
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