Results 41 to 50 of about 170,454 (272)

Computing The Irregularity Strength of Planar Graphs

open access: yesMathematics, 2018
The field of graph theory plays a vital role in various fields. One of the important areas in graph theory is graph labeling used in many applications such as coding theory, X-ray crystallography, radar, astronomy, circuit design, communication network ...
Hong Yang   +4 more
doaj   +1 more source

Longer Cycles in Essentially 4-Connected Planar Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2020
A planar 3-connected graph G is called essentially 4-connected if, for every 3-separator S, at least one of the two components of G − S is an isolated vertex.
Fabrici Igor   +3 more
doaj   +1 more source

On almost hypohamiltonian graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2019
A graph $G$ is almost hypohamiltonian (a.h.) if $G$ is non-hamiltonian, there exists a vertex $w$ in $G$ such that $G - w$ is non-hamiltonian, and $G - v$ is hamiltonian for every vertex $v \ne w$ in $G$. The second author asked in [J.
Jan Goedgebeur, Carol T. Zamfirescu
doaj   +1 more source

Transfer-Efficient Face Routing Using the Planar Graphs of Neighbors in High Density WSNs

open access: yesSensors, 2017
Face routing has been adopted in wireless sensor networks (WSNs) where topological changes occur frequently or maintaining full network information is difficult.
Eun-Seok Cho, Yongbin Yim, Sang-Ha Kim
doaj   +1 more source

On multiplicative degree based topological indices for planar octahedron networks

open access: yesMain Group Metal Chemistry, 2020
Chemical graph theory is a branch of graph theory in which a chemical compound is presented with a simple graph called a molecular graph. There are atomic bonds in the chemistry of the chemical atomic graph and edges. The graph is connected when there is
Dustigeer Ghulam   +3 more
doaj   +1 more source

Planar 3-SAT with a Clause/Variable Cycle [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2019
In the Planar 3-SAT problem, we are given a 3-SAT formula together with its incidence graph, which is planar, and are asked whether this formula is satisfiable.
Alexander Pilz
doaj   +1 more source

Measurement of CT radiation beam width with a pencil ionization chamber and radiopaque mask

open access: yesJournal of Applied Clinical Medical Physics, EarlyView.
Abstract Purpose This study compares fan beam CT scanner radiation beam widths measured with a pencil ionization chamber‐radiopaque mask technique with commonly used film and computed radiography (CR) measurements. Methods For a given fan beam CT scanner x‐ray beam, the ionization chamber‐mask technique determines the radiation beam width by exposing a
Rani Al‐Senan   +2 more
wiley   +1 more source

Inverse and Direct Maxflow Problem Study on the Free-Oriented ST-Planar Network Graph

open access: yesProceedings of the International Conference on Applied Innovations in IT, 2023
The issues of telecommunication network engineering are considered in the context of digital flows optimal scheduling. Introduced the concept of the free-oriented network graph as an enhanced math model of the modern software defined networking ...
Victor Tikhonov   +6 more
doaj   +1 more source

In vivo transit dosimetry methodology for whole breast intensity modulated radiation therapy

open access: yesJournal of Applied Clinical Medical Physics, EarlyView.
Abstract Background In vivo transit dosimetry using an electronic portal imaging device (EPID‐IVTD) is an important tool for verifying the accuracy of radiation therapy treatments. Despite its potential, the implementation of EPID‐IVTD in breast intensity modulated radiation therapy (IMRT) treatments has not yet been standardized, limiting its clinical
Lucia Zirone   +8 more
wiley   +1 more source

DP-4-Colorability on Planar Graphs Excluding 7-Cycles Adjacent to 4- or 5-Cycles

open access: yesMathematics
In order to resolve Borodin’s Conjecture, DP-coloring was introduced in 2017 to extend the concept of list coloring. In previous works, it is proved that every planar graph without 7-cycles and butterflies is DP-4-colorable.
Fan Yang, Xiangwen Li, Ziwen Huang
doaj   +1 more source

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