13 citations · 42 across the 7 of their papers we have counts for
7 papers
Non-Simplicial Nerves for Two-Dimensional Categorical Structures
Nathaniel Watson
The most natural notion of a simplicial nerve for a (weak) bicategory was given by Duskin, who showed that a simplicial set is isomorphic to the nerve of a -category (i.e. a…
Semilocal formal fibers of principal prime ideals
John Chatlos, Brian Simanek, Nathaniel G. Watson +1
Let (T,m) be a complete local (Notherian) ring, C a finite set of pairwise incomparable nonmaximal prime ideals of T, and p a nonzero element. We provide necessary and sufficient c…
Threshold and Complexity Results for the Cover Pebbling Game
Anant P. Godbole, Nathaniel G. Watson, Carl R. Yerger
Given a configuration of pebbles on the vertices of a graph, a pebbling move is defined by removing two pebbles from some vertex and placing one pebble on an adjacent vertex. The c…
Domination Cover Pebbling: Structural Results
Nathaniel G. Watson, Carl R. Yerger
This paper continues the results of "Domination Cover Pebbling: Graph Families." An almost sharp bound for the domination cover pebbling (DCP) number for graphs G with specified di…
Domination Cover Pebbling: Graph Families
James Gardner, Anant P. Godbole, Alberto Mokak Teguia +3
Given a configuration of pebbles on the vertices of a connected graph G, a pebbling move is defined as the removal of two pebbles from some vertex, and the placement of one of thes…
The Complexity of Pebbling and Cover Pebbling
Nathaniel G. Watson
This paper discusses the complexity of graph pebbling, dealing with both traditional pebbling and the recently introduced game of cover pebbling. Determining whether a configuratio…