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» On planar intersection graphs with forbidden subgraphs
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APPML
2007
101views more  APPML 2007»
13 years 5 months ago
Extension of a theorem of Whitney
It is shown that every planar graph with no separating triangles is a subgraph of a Hamiltonian planar graph; that is, Whitney’s theorem holds without the assumption of a triang...
Paul C. Kainen, Shannon Overbay
CORR
2007
Springer
132views Education» more  CORR 2007»
13 years 4 months ago
Nodally 3-connected planar graphs and convex combination mappings
A barycentric mapping of a planar graph is a plane embedding in which every internal vertex is the average of its neighbours. A celebrated result of Tutte’s [16] is that if a pl...
Colm Ó'Dúnlaing
ISAAC
2010
Springer
230views Algorithms» more  ISAAC 2010»
13 years 2 months ago
Seidel Minor, Permutation Graphs and Combinatorial Properties
A permutation graph is an intersection graph of segments lying between two parallel lines. A Seidel complementation of a finite graph at a vertex v consists in complementing the ed...
Vincent Limouzy
DCOSS
2005
Springer
13 years 10 months ago
Infrastructure-Establishment from Scratch in Wireless Sensor Networks
Abstract. We present a distributed, localized and integrated approach for establishing both low-level (i.e. exploration of 1-hop neighbors, interference avoidance) and high-level (...
Stefan Funke, Nikola Milosavljevic