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CIAC
2010
Springer
258views Algorithms» more  CIAC 2010»
14 years 7 months ago
A Planar Linear Arboricity Conjecture
The linear arboricity la(G) of a graph G is the minimum number of linear forests that partition the edges of G. In 1984, Akiyama et al. [1] stated the Linear Arboricity Conjecture...
Marek Cygan, Lukasz Kowalik, Borut Luzar
DM
2010
144views more  DM 2010»
13 years 10 months ago
Balanced Cayley graphs and balanced planar graphs
A balanced graph is a bipartite graph with no induced circuit of length 2 (mod 4). These graphs arise in linear programming. We focus on graph-algebraic properties of balanced gra...
Joy Morris, Pablo Spiga, Kerri Webb
SODA
2012
ACM
268views Algorithms» more  SODA 2012»
12 years 7 days ago
Analyzing graph structure via linear measurements
We initiate the study of graph sketching, i.e., algorithms that use a limited number of linear measurements of a graph to determine the properties of the graph. While a graph on n...
Kook Jin Ahn, Sudipto Guha, Andrew McGregor
DM
2011
202views Education» more  DM 2011»
13 years 1 months ago
Two-ended regular median graphs
We show that regular median graphs of linear growth are the Cartesian product of finite hypercubes with the two-way infinite path. Such graphs are Cayley graphs and have only tw...
Wilfried Imrich, Sandi Klavzar
FAW
2009
Springer
180views Algorithms» more  FAW 2009»
14 years 4 months ago
Edge Search Number of Cographs in Linear Time
We give a linear-time algorithm for computing the edge search number of cographs, thereby proving that this problem can be solved in polynomial time on this graph class. With our ...
Pinar Heggernes, Rodica Mihai