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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: + + + + = <.
The Tri-Cities of Virginia (also known as the Tri-City area or the Appomattox Basin) is an area in the Greater Richmond Region which includes the three independent cities of Petersburg, Colonial Heights, and Hopewell and portions of the adjoining counties of Chesterfield, Dinwiddie, and Prince George in south-central Virginia.
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 ...
Original boundary: Main St., Appomattox St., Hopewell St., and East Broadway, adjusted on May 28, 2013 to add 10 buildings and remove one (the Patrick Copeland Elementary School); adjusted again on August 24, 2015 and April 26, 2018. 6: Hopewell High School Complex: Hopewell High School Complex
Hopewell is an unincorporated community in Fauquier County, Virginia, United States. It lies at an elevation of 679 feet (207 m). It lies at an elevation of 679 feet (207 m). [ 1 ]
Downtown Hopewell Historic District is a national historic district located at Hopewell, Virginia. The district encompasses 38 contributing buildings in the central business district of Hopwell. The district primarily includes masonry buildings, largely built after a devastating fire in 1915.
Kippax Plantation was located on the south bank of the Appomattox River in what is today the City of Hopewell in southeast Virginia.Kippax Plantation was the home of Colonel Robert Bolling (1646–1709).