Results 141 to 150 of about 863,417 (323)

Partition function zeros of the Q-state Potts model for non-integer Q [PDF]

open access: green, 2000
Seung‐Yeon Kim   +3 more
openalex   +1 more source

Communal Partitions of Integers

open access: yesIntegers, 2012
Abstract.There is a well-known formula due to Andrews that counts the number of incongruent triangles with integer sides and a fixed perimeter.
openaire   +3 more sources

MgAl2O4:Cr3+ translucent ceramics with tunable broadband near‐infrared luminescence for laser‐driven light source detection

open access: yesInfoMat, EarlyView.
High‐power broadband NIR light sources are desired for non‐invasive imaging and quantitative detection applications. This work reported tunable NIR emission from 686 to 928 nm via the control of local structural symmetry around isolated Cr3+ ions in MgAl2O4:Cr3+ translucent ceramic, further realizing the optimized external quantum efficiency of 73% and
Gaochao Liu   +5 more
wiley   +1 more source

Dominating Kt ${K}_{t}$‐Models

open access: yesJournal of Graph Theory, EarlyView.
ABSTRACT A dominating Kt ${K}_{t}$‐model in a graph G $G$ is a sequence (T1,…,Tt) $({T}_{1},\ldots ,{T}_{t})$ of pairwise disjoint non‐empty connected subgraphs of G $G$, such that for 1⩽i
Freddie Illingworth, David R. Wood
wiley   +1 more source

Spanning Plane Subgraphs of 1‐Plane Graphs

open access: yesJournal of Graph Theory, EarlyView.
ABSTRACT A graph drawn on the plane is called 1‐plane if each edge is crossed at most once by another edge. In this paper, we show that every 4‐edge‐connected 1‐plane graph has a connected spanning plane subgraph. We also show that there exist infinitely many 4‐connected 1‐plane graphs that have no 2‐connected spanning plane subgraphs.
Kenta Noguchi   +2 more
wiley   +1 more source

L’interprétation stochastique du sociogramme et le problème des choix exceptionnels; A statistical interpretation of the sociogram and the determination of exceptional choice [PDF]

open access: yesTutorials in Quantitative Methods for Psychology, 2012
The mutual designation of a preferred member among a group, be it for presidency, a special mandate or even for psychosocial purposes, proceeds frequently by Moreno’s sociogram technique: in its simpler form, each member votes for some other member, and ...
Louis Laurencelle
doaj  

A product of integer partitions

open access: yes, 2009
I present a bijection on integer partitions that leads to recursive expressions, closed formulae and generating functions for the cardinality of certain sets of partitions of a positive integer $n$. The bijection leads also to a product on partitions that is associative with a natural grading thus defining a free associative algebra on the set of ...
openaire   +2 more sources

Chordal Graphs, Even‐Hole‐Free Graphs and Sparse Obstructions to Bounded Treewidth

open access: yesJournal of Graph Theory, EarlyView.
ABSTRACT Even‐hole‐free graphs pose a central challenge in identifying hereditary classes of bounded treewidth. We investigate this matter by presenting and studying the following conjecture: for an integer t≥4 $t\ge 4$ and a graph H $H$, every even‐hole‐free graph of large enough treewidth has an induced subgraph isomorphic to either Kt ${K}_{t}$ or H
Sepehr Hajebi
wiley   +1 more source

Face Sizes and the Connectivity of the Dual

open access: yesJournal of Graph Theory, EarlyView.
ABSTRACT For each c≥1 $c\ge 1$, we prove tight lower bounds on face sizes that must be present to allow 1‐ or 2‐cuts in simple duals of c $c$‐connected maps. Using these bounds, we determine the smallest genus on which a c $c$‐connected map can have a simple dual with a 2‐cut and give lower and some upper bounds for the smallest genus on which a c $c ...
Gunnar Brinkmann   +2 more
wiley   +1 more source

Partitions of integers, Ferrers-Young diagrams, and representational efficacy of spreadsheet modeling

open access: yesSpreadsheets in Education, 2012
This article shows how concrete materials can be used in the context of partitions of integers to develop recursive definitions of concepts amenable to spreadsheet modeling.
Sergei Abramovich
doaj  

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