Results 1 to 10 of about 892 (123)

Evasive Properties of Sparse Graphs and Some Linear Equations in Primes

open access: yes, 2013
We give an unconditional version of a conditional, on the Extended Riemann Hypothesis, result of L. Babai, A. Banerjee, R. Kulkarni and V. Naik (2010) on the evasiveness of sparse graphs.Comment: This version corrects a mistake made in the previous ...
Shparlinski, Igor
core   +1 more source

Mixing Times of Markov Chains on Degree Constrained Orientations of Planar Graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2017
We study Markov chains for $\alpha$-orientations of plane graphs, these are orientations where the outdegree of each vertex is prescribed by the value of a given function $\alpha$.
Stefan Felsner, Daniel Heldt
doaj   +1 more source

On characteristic and permanent polynomials of a matrix

open access: yesSpecial Matrices, 2017
There is a digraph corresponding to every square matrix over ℂ. We generate a recurrence relation using the Laplace expansion to calculate the characteristic and the permanent polynomials of a square matrix.
Singh Ranveer, Bapat R. B.
doaj   +1 more source

Bounds for the smallest $k$-chromatic graphs of given girth [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2019
Let $n_g(k)$ denote the smallest order of a $k$-chromatic graph of girth at least $g$. We consider the problem of determining $n_g(k)$ for small values of $k$ and $g$.
Geoffrey Exoo, Jan Goedgebeur
doaj   +1 more source

Learning Bayesian networks based on bi-velocity discrete particle swarm optimization with mutation operator

open access: yesOpen Mathematics, 2018
The problem of structures learning in Bayesian networks is to discover a directed acyclic graph that in some sense is the best representation of the given database. Score-based learning algorithm is one of the important structure learning methods used to
Wang Jingyun, Liu Sanyang
doaj   +1 more source

On dynamic network security: A random decentering algorithm on graphs

open access: yesOpen Mathematics, 2018
Random Decentering Algorithm (RDA) on a undirected unweighted graph is defined and tested over several concrete scale-free networks. RDA introduces ancillary nodes to the given network following basic principles of minimal cost, density preservation ...
Trobajo M.T.   +2 more
doaj   +1 more source

On the smallest snarks with oddness 4 and connectivity 2 [PDF]

open access: yes, 2018
A snark is a bridgeless cubic graph which is not 3-edge-colourable. The oddness of a bridgeless cubic graph is the minimum number of odd components in any 2-factor of the graph. Lukot'ka, M\'acajov\'a, Maz\'ak and \v{S}koviera showed in [Electron.
Goedgebeur, Jan
core   +2 more sources

Interval-Valued Fuzzy Soft Graphs

open access: yesTopological Algebra and its Applications, 2017
In this paper, we combine concepts of interval-valued fuzzy soft sets and graph theory. Then we introduce notations of interval-valued fuzzy soft graphs and complete interval-valued fuzzy soft graphs.
Zihni Onur   +2 more
doaj   +1 more source

The agreement distance of unrooted phylogenetic networks [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2020
A rearrangement operation makes a small graph-theoretical change to a phylogenetic network to transform it into another one. For unrooted phylogenetic trees and networks, popular rearrangement operations are tree bisection and reconnection (TBR) and ...
Jonathan Klawitter
doaj   +1 more source

Path-induced closure operators on graphs for defining digital Jordan surfaces

open access: yesOpen Mathematics, 2019
Given a simple graph with the vertex set X, we discuss a closure operator on X induced by a set of paths with identical lengths in the graph. We introduce a certain set of paths of the same length in the 2-adjacency graph on the digital line ℤ and ...
Šlapal Josef
doaj   +1 more source

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