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DM
2008
69views more  DM 2008»
13 years 7 months ago
The signed-graphic representations of wheels and whirls
We characterize all of the ways to represent the wheel matroids and whirl matroids using frame matroids of signed graphs. The characterization of wheels is in terms of topological...
Daniel C. Slilaty, Hongxun Qin
CORR
2008
Springer
141views Education» more  CORR 2008»
13 years 7 months ago
Obfuscated Drawings of Planar Graphs
Given a planar graph G, we consider drawings of G in the plane where edges are represented by straight line segments (which possibly intersect). Such a drawing is specified by an i...
Mihyun Kang, Oleg Pikhurko, Alexander Ravsky, Math...
CORR
2010
Springer
88views Education» more  CORR 2010»
13 years 7 months ago
A characterization of b-perfect graphs
A b-coloring is a coloring of the vertices of a graph such that each color class contains a vertex that has a neighbor in all other color classes, and the b-chromatic number of a ...
Chính T. Hoàng, Frédér...
SIAMDM
2000
103views more  SIAMDM 2000»
13 years 7 months ago
Directional Routing via Generalized st-Numberings
We present a mathematical model for network routing based on generating paths in a consistent direction. Our development is based on an algebraic and geometric framework for defini...
Fred S. Annexstein, Kenneth A. Berman
ALENEX
2007
102views Algorithms» more  ALENEX 2007»
13 years 9 months ago
Linearization: Locally Self-Stabilizing Sorting in Graphs
We consider the problem of designing a distributed algorithm that, given an arbitrary connected graph G of nodes with unique labels, converts G into a sorted list of nodes. This a...
Melih Onus, Andréa W. Richa, Christian Sche...