Results 201 to 210 of about 207,710 (268)

A Coarse Geometric Approach to Graph Layout Problems

open access: yesJournal of Graph Theory, EarlyView.
ABSTRACT We define a range of new coarse geometric invariants based on various graph–theoretic measures of complexity for finite graphs, including treewidth, pathwidth, cutwidth and bandwidth. We prove that, for bounded degree graphs, these invariants can be used to define functions which satisfy a strong monotonicity property, namely, they are ...
Wanying Huang   +3 more
wiley   +1 more source

Orientations of Graphs With at Most One Directed Path Between Every Pair of Vertices

open access: yesJournal of Graph Theory, EarlyView.
ABSTRACT Given a graph G $G$, we say that an orientation D $D$ of G $G$ is a KT orientation if, for all u , v ∈ V ( D ) $u,v\in V(D)$, there is at most one directed path (in any direction) between u $u$ and v $v$. Graphs that admit such orientations have been used to construct graphs with large chromatic number and small clique number that served as ...
Barbora Dohnalová   +3 more
wiley   +1 more source

On a Clique‐Building Game of Erdős

open access: yesJournal of Graph Theory, EarlyView.
ABSTRACT The following game was introduced in a list of open problems from 1983 attributed to Erdős: two players take turns claiming edges of a Kn ${K}_{n}$ until all edges are exhausted. Player 1 wins the game if the largest clique that they claim at the end is strictly larger than the largest clique of their opponent; otherwise, Player 2 wins the ...
Alexandru Malekshahian, Sam Spiro
wiley   +1 more source

On the Hardness of Switching to a Small Number of Edges

open access: yesJournal of Graph Theory, EarlyView.
ABSTRACT Seidel's switching is a graph operation which makes a given vertex adjacent to precisely those vertices to which it was non‐adjacent before, while keeping the rest of the graph unchanged. Two graphs are called switching‐equivalent if one can be made isomorphic to the other one by a sequence of switches. Jelínková et al. [DMTCS 13, no. 2, 2011]
Vít Jelínek   +2 more
wiley   +1 more source

Machine learning approach to topological graph descriptors of graphene nanoribbons. [PDF]

open access: yesFront Chem
Jyothish K   +5 more
europepmc   +1 more source

Exploring the Clinical Potential of Dynamic Digital Radiography: A Narrative Review

open access: yesJournal of Medical Radiation Sciences, EarlyView.
Dynamic Digital Radiography (DDR) is a promising X‐ray technology that captures rapid image sequences, enabling the visualisation of moving anatomical structures for various clinical applications, including pulmonary, cardiac and orthopaedic assessments.
Connor W. Braniff, Mohamed K. Badawy
wiley   +1 more source

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