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WAOA
2007
Springer
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14 years 5 months ago
A 5/3-Approximation for Finding Spanning Trees with Many Leaves in Cubic Graphs
For a connected graph G, let L(G) denote the maximum number of leaves in a spanning tree in G. The problem of computing L(G) is known to be NP-hard even for cubic graphs. We improv...
José R. Correa, Cristina G. Fernandes, Mart...
COCOON
2007
Springer
14 years 5 months ago
On the Number of Cycles in Planar Graphs
We investigate the maximum number of simple cycles and the maximum number of Hamiltonian cycles in a planar graph G with n vertices. Using the transfer matrix method we construct a...
Kevin Buchin, Christian Knauer, Klaus Kriegel, And...
IWPEC
2009
Springer
14 years 6 months ago
What Makes Equitable Connected Partition Easy
We study the Equitable Connected Partition problem, which is the problem of partitioning a graph into a given number of partitions, such that each partition induces a connected sub...
Rosa Enciso, Michael R. Fellows, Jiong Guo, Iyad A...
CMSB
2009
Springer
14 years 6 months ago
Equivalence and Discretisation in Bio-PEPA
Bio-PEPA is a process algebra for modelling biological systems. An important aspect of Bio-PEPA is the ability it provides to discretise concentrations resulting in a smaller, more...
Vashti Galpin, Jane Hillston
WG
2009
Springer
14 years 6 months ago
Exact and Parameterized Algorithms for Max Internal Spanning Tree
We consider the NP-hard problem of finding a spanning tree with a maximum number of internal vertices. This problem is a generalization of the famous Hamiltonian Path problem. Our...
Henning Fernau, Serge Gaspers, Daniel Raible
LATA
2009
Springer
14 years 6 months ago
A Series of Run-Rich Strings
We present a new series of run-rich strings, and give a new lower bound 0.94457567 of the maximum number of runs in a string. We also introduce the general conjecture about a asymp...
Wataru Matsubara, Kazuhiko Kusano, Hideo Bannai, A...
DCC
2003
IEEE
14 years 11 months ago
The Largest Cap in AG(4, 4) and Its Uniqueness
We show that 40 is the maximum number of points of a cap in AG(4, 4). Up to semi-linear transformations there is only one such 40-cap. Its group of automorphisms is a semidirect p...
Yves Edel, Jürgen Bierbrauer