This paper studies 3-D orthogonal grid drawings for graphs of arbitrary degree, in particular Kn, with vertices drawn as boxes. It establishes asymptotic lower bounds for the volu...
Therese C. Biedl, Thomas C. Shermer, Sue Whiteside...
: We prove that the strong product G1 G2 of G1 and G2 is Z3-flow contractible if and only if G1 G2 is not T K2, where T is a tree (we call T K2 a K4-tree). It follows that G1 G2 ad...
Wilfried Imrich, Iztok Peterin, Simon Spacapan, Cu...
This paper proves that for every positive integers n and k, we can explicitly construct a graph G with n+O(k) vertices and maximum degree 3, such that even after removing any k ve...
We consider the following question: how large does n have to be to guarantee that in any two-colouring of the edges of the complete graph Kn,n there is a monochromatic Kk,k? In th...
Structured data including sets, sequences, trees and graphs, pose significant challenges to fundamental aspects of data management such as efficient storage, indexing, and simila...
Xiaohong Wang, Aaron M. Smalter, Jun Huan, Gerald ...