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COMBINATORICS
1999
95views more  COMBINATORICS 1999»
13 years 7 months ago
Maximum Degree Growth of the Iterated Line Graph
Let k denote the maximum degree of the kth iterated line graph Lk(G). For any connected graph G that is not a path, the inequality k+1 2k - 2 holds. Niepel, Knor, and Solt
Stephen G. Hartke, Aparna W. Higgins
JGT
2007
99views more  JGT 2007»
13 years 7 months ago
The upper bound of the number of cycles in a 2-factor of a line graph
Let G be a simple graph with order n and minimum degree at least two. In this paper, we prove that if every odd branch-bond in G has an edge-branch, then its line graph has a 2-fa...
Jun Fujisawa, Liming Xiong, Kiyoshi Yoshimoto, She...
VL
1994
IEEE
121views Visual Languages» more  VL 1994»
13 years 11 months ago
Using 3D Tubes to Solve the Intersecting Line Representation Problem
In this paper we discuss 3D rendering as a solution to the line crossing problem associated with using connecting lines for illustrating relations in visual programming. The Bezie...
Lindsey L. Spratt, Allen L. Ambler
IPL
2007
130views more  IPL 2007»
13 years 7 months ago
Linear structure of bipartite permutation graphs and the longest path problem
The class of bipartite permutation graphs is the intersection of two well known graph classes: bipartite graphs and permutation graphs. A complete bipartite decomposition of a bip...
Ryuhei Uehara, Gabriel Valiente