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» Vertices of given degree in series-parallel graphs
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WDAG
2000
Springer
112views Algorithms» more  WDAG 2000»
13 years 11 months ago
More Lower Bounds for Weak Sense of Direction: The Case of Regular Graphs
A graph G with n vertices and maximum degree G cannot be given weak sense of direction using less than G colours. It is known that n colours are always sufficient, and it was conje...
Paolo Boldi, Sebastiano Vigna
ESA
2008
Springer
102views Algorithms» more  ESA 2008»
13 years 9 months ago
Succinct Representations of Arbitrary Graphs
Abstract. We consider the problem of encoding a graph with n vertices and m edges compactly supporting adjacency, neighborhood and degree queries in constant time in the log n-bit ...
Arash Farzan, J. Ian Munro
COCOON
2003
Springer
14 years 25 days ago
Graph Coloring and the Immersion Order
The relationship between graph coloring and the immersion order is considered. Vertex connectivity, edge connectivity and related issues are explored. These lead to the conjecture...
Faisal N. Abu-Khzam, Michael A. Langston
SPAA
2003
ACM
14 years 26 days ago
Short length menger's theorem and reliable optical routing
In the minimum path coloring problem, we are given a graph and a set of pairs of vertices of the graph and we are asked to connect the pairs by colored paths in such a way that pa...
Amitabha Bagchi, Amitabh Chaudhary, Petr Kolman
STACS
2010
Springer
14 years 2 months ago
Two-phase Algorithms for the Parametric Shortest Path Problem
Abstract. A parametric weighted graph is a graph whose edges are labeled with continuous real functions of a single common variable. For any instantiation of the variable, one obta...
Sourav Chakraborty, Eldar Fischer, Oded Lachish, R...