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In the mathematical field of graph theory, a Hamiltonian path (or traceable path) is a path in an undirected or directed graph that visits each vertex exactly once. A Hamiltonian cycle (or Hamiltonian circuit) is a cycle that visits each vertex exactly once. A Hamiltonian path that starts and ends at adjacent vertices can be completed by adding ...
A verifier algorithm for Hamiltonian path will take as input a graph G, starting vertex s, and ending vertex t. Additionally, verifiers require a potential solution known as a certificate, c. For the Hamiltonian Path problem, c would consist of a string of vertices where the first vertex is the start of the proposed path and the last is the end ...
According to the United States Census Bureau, Hamilton Township covers an area of 37.3 square miles (96.5 km 2), with 36.8 square miles (95.3 km 2) of it being land and 0.46 square miles (1.2 km 2) of it, or 1.20%, being water.
Today, the route has been partially preserved as Arkansas Highway 265 in Northwest Arkansas and (partially) as Old Wire Road in Fayetteville. The route is designated with historic markers through Fayetteville, including an original stone along present-day College Avenue ( U.S. Route 71B ) in front of the Former Washington County Courthouse .
Lake Hamilton is a census-designated place (CDP) in Garland County, Arkansas, United States. It is part of the Hot Springs Metropolitan Statistical Area. The population was 2,135 at the 2010 census. [3] It is named after Lake Hamilton, one of the area's man-made lakes.
Arkansas Highway 7 (AR 7) is a north–south state highway in Arkansas. As Arkansas's longest state highway, the route runs 297.27 miles (478.41 km) from the Louisiana state line north to Diamond City .
Lake Catherine Lake Hamilton Lake Ouachita. Arkansas Noname 136 Reservoir, el. 653 feet (199; Bethel Lake, el. 610 feet (190; Big Lake, el. 751 feet (229; Camp Clear Fork Reservoir, el. 709 feet (216
Each town or city is within one or more townships in an Arkansas county based on census maps and publications. The townships of Cross County are listed below; listed in parentheses are the cities, towns, and/or census-designated places that are fully or partially inside the township. [45] [46]