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» Bounds of Graph Characteristics
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DAM
2008
84views more  DAM 2008»
15 years 3 months ago
Edge-splittings preserving local edge-connectivity of graphs
Let G = (V + s, E) be a 2-edge-connected graph with a designated vertex s. A pair of edges rs, st is called admissible if splitting off these edges (replacing rs and st by rt) pre...
Zoltán Szigeti
DM
2008
112views more  DM 2008»
15 years 3 months ago
Coloring the Cartesian sum of graphs
For graphs G and H, let G H denote their Cartesian sum. This paper investigates the chromatic number and the circular chromatic number for GH. It is proved that (G H) max{ c(G)...
Daphne Der-Fen Liu, Xuding Zhu
140
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MLQ
1998
126views more  MLQ 1998»
15 years 3 months ago
Reverse Mathematics and Recursive Graph Theory
We examine a number of results of infinite combinatorics using the techniques of reverse mathematics. Our results are inspired by similar results in recursive combinatorics. Theor...
William I. Gasarch, Jeffry L. Hirst
118
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TIT
1998
127views more  TIT 1998»
15 years 3 months ago
On a New Class of Codes for Identifying Vertices in Graphs
—We investigate a new class of codes for the optimal covering of vertices in an undirected graph Gsuch that any vertex in G can be uniquely identified by examining the vertices ...
Mark G. Karpovsky, Krishnendu Chakrabarty, Lev B. ...
123
Voted
SADM
2008
90views more  SADM 2008»
15 years 2 months ago
ORIGAMI: A Novel and Effective Approach for Mining Representative Orthogonal Graph Patterns
: In this paper, we introduce the concept of -orthogonal patterns to mine a representative set of graph patterns. Intuitively, two graph patterns are -orthogonal if their similarit...
Vineet Chaoji, Mohammad Al Hasan, Saeed Salem, J&e...