On the second maximum Wiener polarity index of chemical trees of a fixed order

2021 ◽  
Author(s):  
Akbar Ali ◽  
Zhibin Du ◽  
Syeda Sifwa Zaineb ◽  
Tariq Alraqad
Keyword(s):  
Polarity Index ◽  
Fixed Order ◽  
Chemical Trees

scholarly journals The inverse Wiener polarity index problem for chemical trees

PLoS ONE ◽  
2018 ◽  
Vol 13 (5) ◽  
pp. e0197142 ◽  
Author(s):  
Zhibin Du ◽  
Akbar Ali
Keyword(s):  
Polarity Index ◽  
Index Problem ◽  
Chemical Trees

scholarly journals A Note on the Minimum Wiener Polarity Index of Trees with a Given Number of Vertices and Segments or Branching Vertices

2021 ◽  
Vol 2021 ◽  
pp. 1-5
Author(s):  
Sadia Noureen ◽  
Akhlaq Ahmad Bhatti ◽  
Akbar Ali
Keyword(s):  
Lower Bound ◽  
Lower Bounds ◽  
Polarity Index ◽  
Fixed Order

The Wiener polarity index of a graph G , usually denoted by W p G , is defined as the number of unordered pairs of those vertices of G that are at distance 3. A vertex of a tree with degree at least 3 is called a branching vertex. A segment of a tree T is a nontrivial path S whose end-vertices have degrees different from 2 in T and every other vertex (if exists) of S has degree 2 in T . In this note, the best possible sharp lower bounds on the Wiener polarity index W p are derived for the trees of fixed order and with a given number of branching vertices or segments, and all the trees attaining this lower bound are characterized.

A note on chemical trees with minimum Wiener polarity index

2018 ◽  
Vol 335 ◽  
pp. 231-236 ◽  
Author(s):  
Akbar Ali ◽  
Zhibin Du ◽  
Muhammad Ali
Keyword(s):  
Polarity Index ◽  
Chemical Trees

Ordering chemical trees by Wiener polarity index

2017 ◽  
Vol 313 ◽  
pp. 301-312 ◽  
Author(s):  
Ali Reza Ashrafi ◽  
Ali Ghalavand
Keyword(s):  
Polarity Index ◽  
Chemical Trees

Matching of resummation with fixed order NNLO for event shapes

2008 ◽  
Author(s):  
Gionata Luisoni ◽  
Thomas Gehrmann ◽  
Hasko Stenzel
Keyword(s):  
Fixed Order ◽  
Event Shapes

The relative cycle in Hungarian declaratives

2018 ◽  
Author(s):  
Julia Bacskai-Atkari
Keyword(s):  
Word Order ◽  
Relative Position ◽  
Left Periphery ◽  
Word Order Variation ◽  
Order Variation ◽  
Fixed Order ◽  
Embedded Clauses ◽  
Head Positions

This chapter examines word order variation and change in the high CP-domain of Hungarian embedded clauses containing the finite subordinating C head hogy ‘that’. It is argued that the complementizer hogy developed from an operator of the same morphophonological form, meaning ‘how’, and that its grammaticalization path develops in two steps. In addition to the change from an operator, located in a specifier, into a C head (specifier-to-head reanalysis), the fully grammaticalized complementizer hogy also changed its relative position on the CP-periphery, ultimately occupying the higher of two C head positions (upward reanalysis). Other complementizers that could co-occur with hogy in Old Hungarian eventually underwent similar reanalysis processes. Hence the possibility of accommodating two separate C heads in the left periphery was lost and variation in the relative position of complementizers was replaced by a fixed order.

QCD at Fixed Order: Processes

2018 ◽  
Author(s):  
John Campbell ◽  
Joey Huston ◽  
Frank Krauss
Keyword(s):  
Hadron Collider ◽  
Detailed Comparison ◽  
Theoretical Description ◽  
Higgs Bosons ◽  
Final States ◽  
Collider Physics ◽  
Wide Range ◽  
Theoretical Predictions ◽  
Fixed Order ◽  
The Subject

At the core of any theoretical description of hadron collider physics is a fixed-order perturbative treatment of a hard scattering process. This chapter is devoted to a survey of fixed-order predictions for a wide range of Standard Model processes. These range from high cross-section processes such as jet production to much more elusive reactions, such as the production of Higgs bosons. Process by process, these sections illustrate how the techniques developed in Chapter 3 are applied to more complex final states and provide a summary of the fixed-order state-of-the-art. In each case, key theoretical predictions and ideas are identified that will be the subject of a detailed comparison with data in Chapters 8 and 9.

Sign in / Sign up

Export Citation Format

Share Document