Algorithms for Multicolorings of Partial ★-Trees (<Special Issue>Special Issue on Selected Papers from LA Symposium)
スポンサーリンク
概要
- 論文の詳細を見る
Let each vertex ★ of a graph G have a positive integer weight ★(★). Then a multicoloring of G is to assign each vertex ★ a set of ★(★) colors so that any pair of adjacent vertices receive disjoint sets of colors. A partial k-tree is a graph with tree-width bounded by a fixed constant k. This paper presents an algorithm which finds a multicoloring of any given partial k-tree G with the minimum number of colors. The computation time of the algorithm is bounded by a polynomial in the number of vertices and the maximum weight of vertices in G.
- 社団法人電子情報通信学会の論文
- 2003-02-01
著者
-
Nishizeki T
Tohoku Univ. Sendai Jpn
-
Nishizeki Takao
Tohoku Univ. Sendai‐shi Jpn
-
Nishizeki Takao
Graduate School Of Information Sciences Tohoku University
-
Zhou X
Tohoku Univ. Sendai‐shi Jpn
-
Zhou Xiao
Tohoku Univ. Sendai‐shi Jpn
-
Zhou Xiao
Graduate School Of Information Sciences Tohoku University
-
ITO Takehiro
Graduate School of Information Sciences, Tohoku University
-
Ito Takehiro
Graduate School Of Information Sciences Tohoku University
-
Nishizeki Takao
Graduate School Of Information Sciences
-
Ito T
Tohoku Univ. Sendai‐shi Jpn
-
Zhou Xiao
Graduate School Of Information Sciences Tohoku Univ.
関連論文
- List Edge-Colorings of Series-Parallel Graphs
- Linear Algorithm for Finding List Edge-Colorings of Series-Parallel Graphs (Special Issue on Selected Papers from LA Symposium)
- Minimum Cost Edge-Colorings of Trees Can Be Reduced to Matchings
- Quantum Card Dealing
- Necessary and Sufficient Numbers of Cards for Sharing Secret Keys on Hierarchical Groups(Special Issue on Selected Papers from LA Symposium)
- Sufficient Condition and Algorithm for List Total Colorings of Series-Parallel Graphs(Discrete Mathematics and Its Applications)
- Algorithms for Drawing Plane Graphs(Foundations of Computer Science)
- 平面グラフの格子短形描画
- On the One-Way Algebraic Homomorphism (Special Section on Cryprography and Information Security)
- Cost Total Colorings of Trees(Foundations of Computer Science)
- Numerical Simulation of Effect of Wall in a Basic Pulse-Tube Refrigerator
- Numerical Analysis of Heat and Fluid Flow in Pulse Tube Refrigerator(Emerging Fields in Thermal Engineering)
- TED-AJ03-164 NUMERICAL ANALYSIS OF HEAT AND FLUID FLOW IN PULSE TUBE REFRIGERATOR
- LA-10 A Linear Algorithm for Rectangular Drawings of Planar Graphs
- LA-9 Rectangle-of-Influence Drawings of Four-Connected Plane Graphs
- Edge-Coloring Problems for Graphs
- Mining Communities on the Web Using a Max-Flow and a Site-Oriented Framework(Data Mining)
- Partitioning a Multi-Weighted Graph to Connected Subgraphs of Almost Uniform Size(Graph Algorithms,Foundations of Computer Science)
- Algorithms for Multicolorings of Partial ★-Trees (Special Issue on Selected Papers from LA Symposium)
- Convex Drawings of Internally Triconnected Plane Graphs on O(n^2) Grids
- Best Security Index for Digital Fingerprinting(Information Hiding, Cryptography and Information Security)
- New Security Index for Digital Fingerprinting and Its Bounds
- Optimal Parallel Algorithms for Edge-Coloring Partial k-Trees with Bounded Degrees
- Efficient Compression of Web Graphs
- On the Difficulty of Searching for a String without Decryption (Special Section on Cryptography and Information Security)
- Generalized Edge-Rankings of Trees
- Bipartition of Biconnected Graphs
- Graph Coloring Algorithms(Special Issue on Algorithm Engineering : Surveys)
- One-Way Functions over Finite Near-Rings
- An Improved Sufficient Condition for Reconfiguration of List Edge-Colorings in a Tree
- Energy-Efficient Threshold Circuits for Comparison Functions