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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: + + + + = <.
Map of Washington's congressional districts from 2023 Interactive map version. The following is a list of the ten congressional districts in the U.S. state of Washington.From the time that Washington Territory was formed in 1853, through statehood in 1889, Washington Territory elected an at-large non-voting Delegate to the United States House of Representatives.
Inslee was elected the state's governor in 2012, and took office in January 2013. In the 2008 election , Hastings easily defeated challenger George Fearing. The 4th district has been represented in the U.S. House of Representatives by Dan Newhouse since 2015 , a Republican from Sunnyside .
State Route 411 (SR 411) begins at a partial cloverleaf interchange with SR 432 in Longview, located northwest of the confluence of the Cowlitz and Columbia rivers. [3] From the interchange, the highway travels north as 3rd Avenue to exit Longview and enter Kelso as First Avenue, [1] where SR 411 Spur extends west from the main roadway to SR 4, which the road goes under after SR 4 travels ...
The U.S. state of Washington has 29 statistical areas that have been delineated by the Office of Management and Budget (OMB). On July 21, 2023, the OMB delineated six combined statistical areas, 13 metropolitan statistical areas, and ten micropolitan statistical areas in Washington. [1]
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 ...
Kelso's first train station was built for the Northern Pacific Railroad. The first small depot was a wooden structure in the 100 block of Front or First Avenue. By 1906 the citizens of Kelso petitioned the Northern Pacific Railroad for a better passenger and freight depot. This was granted and a new, brick passenger and a wood freight depot was ...