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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.
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 ...
Location of Cowlitz County in Washington. This list presents the full set of buildings, structures, objects, sites, or districts designated on the National Register of Historic Places in Cowlitz County, Washington, and offers brief descriptive information about each of them.
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.
North of Vancouver (I-5) Oregon: 1961 ex.s. c 21 § 1 PSH 1 DC Duwamish Connection: SR 181: Duwamish (SR 99) South Seattle (SR 900) 1963 ex.s. c 3 § 21 PSH 1: Everett: South of Everett: 1937 c 190 § 1: Everett southwest SSH 1A: SR 9: Lawrence (SR 542) British Columbia: 1937 c 207 § 2: Blaine to Bothell, Van Buren to British Columbia SSH 1A ...
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In graph theory, a star S k is the complete bipartite graph K 1,k : a tree with one internal node and k leaves (but no internal nodes and k + 1 leaves when k ≤ 1).Alternatively, some authors define S k to be the tree of order k with maximum diameter 2; in which case a star of k > 2 has k − 1 leaves.
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]