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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 ...
619 E. 8th St., 804-846 Pennsylvania St., and 716 E. 9th St.; also 620 East 8th Street: Lawrence: Second set of addresses represent a boundary increase approved October 11, 2022. 28: Eldridge House Hotel: Eldridge House Hotel
Lawrence's Downtown Historic District comprises the commercial core of Lawrence, Kansas. The district comprises areas along Massachusetts Street between 6th Street and South Park Street. Nearly all of the contributing structures are masonry commercial buildings, typically with display windows at street level and smaller windows at upper levels.
Lawrence is a city in and the county seat of Douglas County, Kansas, United States, [4] and the sixth-largest city in the state. It is in the northeastern sector of the state, astride Interstate 70, between the Kansas and Wakarusa Rivers.
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]
Kansas's 5th congressional district is an obsolete district for representation in the United States House of Representatives. It existed from 1885 to 1993. Geography