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COMBINATORICS
2007
42views more  COMBINATORICS 2007»
15 years 6 months ago
Graphs with Chromatic Roots in the Interval (1, 2)
We present an infinite family of 3-connected non-bipartite graphs with chromatic roots in the interval (1, 2) thus resolving a conjecture of Jackson’s in the negative. In addit...
Gordon F. Royle
JCT
2007
83views more  JCT 2007»
15 years 6 months ago
On the largest eigenvalue of non-regular graphs
We study the spectral radius of connected non-regular graphs. Let λ1(n,Δ) be the maximum spectral radius among all connected non-regular graphs with n vertices and maximum degre...
Bolian Liu, Jian Shen, Xinmao Wang
SIAMDM
2010
128views more  SIAMDM 2010»
15 years 4 months ago
t-Perfection Is Always Strong for Claw-Free Graphs
A connected graph G is called t-perfect if its stable set polytope is determined by the non-negativity, edge and odd-cycle inequalities. Moreover, G is called strongly t-perfect i...
Henning Bruhn, Maya Stein
ICALP
2009
Springer
16 years 6 months ago
Elimination Graphs
A graph is chordal if it does not contain any induced cycle of size greater than three. An alternative characterization of chordal graphs is via a perfect elimination ordering, whi...
Yuli Ye, Allan Borodin
GLOBECOM
2007
IEEE
16 years 21 days ago
On the Expected Connection Lifetime and Stochastic Resilience of Wireless Multi-Hop Networks
—To understand how node mobility and Byzantine node failures affect connectivity of wireless multi-hop networks, this paper investigates resilience of geometric random graphs to ...
Fei Xing, Wenye Wang