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DM
2002
104views more  DM 2002»
13 years 10 months ago
A polynomial time algorithm for determining zero Euler-Petrie genus of an Eulerian graph
A dual-eulerian graph is a plane graph which has an ordering defined on its edge set which forms simultaneously an Euler circuit in the graph and an euler circuit in the dual grap...
Brigitte Servatius, Herman Servatius
IWOCA
2009
Springer
119views Algorithms» more  IWOCA 2009»
14 years 4 months ago
Fully Decomposable Split Graphs
We discuss various questions around partitioning a split graph into connected parts. Our main result is a polynomial time algorithm that decides whether a given split graph is full...
Hajo Broersma, Dieter Kratsch, Gerhard J. Woeginge...
COMBINATORICS
2007
42views more  COMBINATORICS 2007»
13 years 10 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»
13 years 10 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»
13 years 8 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