Results 71 to 80 of about 124 (114)

A branch-and-cut algorithm for the target visitation problem

open access: yesEURO Journal on Computational Optimization, 2019
In this paper, we consider the target visitation problem (TVP) which arises in the context of disaster treatment. Mathematically speaking, the problem is concerned with finding a route to visit a set of targets starting from and returning to some base ...
Achim Hildenbrandt
doaj   +1 more source

Game Chromatic Number of Graphs

open access: yes, 1998
We show that if a graph has acyclic chromatic number k, then its game chromatic number is at most k(k + 1). By applying the known upper bounds for the acyclic chromatic numbers of various classes of graphs, we obtain upper bounds for the game chromatic ...
Xuding Zhu, Thomas Dinski
core  

Exploring Unknown Environments

open access: yes, 1997
. We consider exploration problems where a robot has to construct a complete map of an unknown environment. We assume that the environment is modeled by a directed, strongly connected graph.
Monika R. Henzinger   +3 more
core  

A note on lower bounds for the total domination number of digraphs

open access: yes, 2017
A vertex subset S of a digraph D is called a dominating set of D if every vertex not in S is adjacent from at least one vertex in S. A dominating set S of D is called a total dominating set of D if the subdigraph of D induced by S has no isolated ...
Chen, Xiaodan, Hao, Guoliang
core  

A new bound for the spectral radius of Brualdi-Li matrices

open access: yesSpecial Matrices, 2015
Let B2m denote the Brualdi-Li matrix of order 2m, and let ρ2m = ρ(B2m ) denote the spectral radius of the Brualdi-Li Matrix ...
Chen Xiaogen
doaj   +1 more source

The hybrid number of a ploidy profile. [PDF]

open access: yesJ Math Biol, 2022
Huber KT, Maher LJ.
europepmc   +1 more source

Domination parameters on Cayley digraphs of full transformation semigroups relative to Green’s equivalence L $\mathcal{L}$ -classes and their complements

open access: yesOpen Mathematics
Let T(X) be a full transformation semigroup on a nonempty set X. The Cayley digraph Γ of a semigroup T(X) with respect to the Green’s L $\mathcal{L}$ -class is a digraph with vertex set T(X) and two vertices α, β ∈ T(X) are adjacent as an arc (α, β ...
Chaiya Yanisa   +2 more
doaj   +1 more source

Ramsey-Type Results for Oriented Trees

open access: yes, 2007
. For a graph G and a digraph ~ H, we write G! ~ H (respectively, G a ! ~ H) if every orientation (respectively, acyclic orientation) of the edges of G results in an induced copy of ~ H. In this note we study how small the graphs G such that G!
Vojtech Rödl   +2 more
core  

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