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» A Note on Graph Pebbling
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ARSCOM
2006
72views more  ARSCOM 2006»
13 years 7 months ago
A Sufficient Condition for Quasi-Claw-Free Hamiltonian Graphs
Abstract. There are several well-known and important hamiltonian results for claw-free graphs but only a few are concerned with quasi-claw-free graphs. In this note, we provide a n...
Jou-Ming Chang, An-Hang Chen
TCS
2008
13 years 7 months ago
A note on the problem of reporting maximal cliques
Reporting the maximal cliques of a graph is a fundamental problem arising in many areas. This note bridges the gap between three papers addressing this problem: the original paper...
Frédéric Cazals, Chinmay Karande
DM
2008
73views more  DM 2008»
13 years 7 months ago
A note on edge-graceful spectra of the square of paths
For a simple path Pr on r vertices, the square of Pr is the graph P2 r on the same set of vertices of Pr , and where every pair of vertices of distance two or less in Pr is connec...
Tao-Ming Wang, Cheng-Chih Hsiao, Sin-Min Lee
APPML
2005
68views more  APPML 2005»
13 years 7 months ago
A note on edge fault tolerance with respect to hypercubes
In the previous studies on k-edge fault tolerance with respect to hypercubes Qn, matrices for generating linear k-EFT(Qn) graphs were used. Let EFTL(n, k) denote the set of matric...
Tung-Yang Ho, Ting-Yi Sung, Lih-Hsing Hsu
COMBINATORICS
2006
107views more  COMBINATORICS 2006»
13 years 7 months ago
A Note on the Number of Hamiltonian Paths in Strong Tournaments
We prove that the minimum number of distinct hamiltonian paths in a strong tournament of order n is 5 n-1 3 . A known construction shows this number is best possible when n 1 mod...
Arthur H. Busch