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» Graphs with Chromatic Roots in the Interval (1, 2)
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TCS
2008
13 years 7 months ago
Game chromatic index of graphs with given restrictions on degrees
Given a graph G and an integer k, two players alternatively color the edges of G using k colors so that adjacent edges get different colors. The game chromatic index g(G) is the m...
Andrew Beveridge, Tom Bohman, Alan M. Frieze, Oleg...
ICALP
2011
Springer
12 years 10 months ago
Clique Clustering Yields a PTAS for max-Coloring Interval Graphs
We are given an interval graph G = (V, E) where each interval I ∈ V has a weight wI ∈ R+. The goal is to color the intervals V with an arbitrary number of color classes C1, C2...
Tim Nonner
IPL
1998
95views more  IPL 1998»
13 years 7 months ago
Coloring Random Graphs
An equitable coloring of a graph is a proper vertex coloring such that the sizes of any two color classes differ by at most one. The least positive integer k for which there exis...
Michael Krivelevich, Benny Sudakov
MOC
1998
92views more  MOC 1998»
13 years 7 months ago
Perturbing polynomials with all their roots on the unit circle
Given a monic real polynomial with all its roots on the unit circle, we ask to what extent one can perturb its middle coefficient and still have a polynomial with all its roots on ...
Michael J. Mossinghoff, Christopher G. Pinner, Jef...
WG
2004
Springer
14 years 21 days ago
Computing Bounded-Degree Phylogenetic Roots of Disconnected Graphs
The Phylogenetic kth Root Problem (PRk) is the problem of finding a (phylogenetic) tree T from a given graph G = (V, E) such that (1) T has no degree-2 internal nodes, (2) the ex...
Zhi-Zhong Chen, Tatsuie Tsukiji