Browsing Computer Science by Subject "Graph Theory"
Now showing items 1-4 of 4
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The Complexity of Network Design for s-t Eff ective Resistance
(University of Waterloo, 2018-08-23)We consider a new problem of designing a network with small $s$-$t$ effective resistance. In this problem, we are given an undirected graph $G=(V,E)$ where each edge $e$ has a cost $c_e$ and a resistance $r_e$, two ... -
List Coloring Some Classes of 1-Planar Graphs
(University of Waterloo, 2021-12-23)In list coloring we are given a graph G and a list assignment for G which assigns to each vertex of G a list of possible colors. We wish to find a coloring of the vertices of G such that each vertex uses a color from its ... -
Simultaneous Graph Representation Problems
(University of Waterloo, 2011-02-18)Many graphs arising in practice can be represented in a concise and intuitive way that conveys their structure. For example: A planar graph can be represented in the plane with points for vertices and non-crossing curves ... -
Simultaneously Embedding Planar Graphs at Fixed Vertex Locations
(University of Waterloo, 2010-05-18)We discuss the problem of embedding planar graphs onto the plane with pre-specified vertex locations. In particular, we introduce a method for constructing such an embedding for both the case where the mapping from the ...