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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 ...
Washington's 4th congressional district encompasses a large area of central Washington, covering the counties of Douglas, Okanogan, Grant, Yakima, Benton, and Klickitat; and parts of Adams and Franklin counties. The district is dominated by the Yakima and Tri-Cities areas.
416 Twentieth Ave. 46°07′28″N 122°57′32″W / 46.124444°N 122.958889°W / 46.124444; -122.958889 ( Longview Community Church-Saint Helen's Longview
The metric dimension of an n-vertex graph is n − 1 if and only if it is a complete graph. The metric dimension of an n -vertex graph is n − 2 if and only if the graph is a complete bipartite graph K s , t , a split graph K s + K t ¯ ( s ≥ 1 , t ≥ 2 ) {\displaystyle K_{s}+{\overline {K_{t}}}(s\geq 1,t\geq 2)} , or K s + ( K 1 ∪ K t ...
State Route 432 (SR 432) is a 10.32-mile-long (16.61 km) state highway in the U.S. state of Washington, serving the cities of Longview and Kelso in Cowlitz County.The highway travels east along the Columbia River from an intersection with SR 4 in West Longview through the Port of Longview and the termini of SR 433 and SR 411 in Longview.
A cubic graph (all vertices have degree three) of girth g that is as small as possible is known as a g-cage (or as a (3,g)-cage).The Petersen graph is the unique 5-cage (it is the smallest cubic graph of girth 5), the Heawood graph is the unique 6-cage, the McGee graph is the unique 7-cage and the Tutte eight cage is the unique 8-cage. [3]