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Linear time recognition of P4-indifference graphs [PDF]

open access: diamondDiscrete Mathematics & Theoretical Computer Science, 2001
A graph is a P4-indifference graph if it admits an ordering < on its vertices such that every chordless path with vertices a, b, c, d and edges ab, bc, cd has ...
Michel Habib   +2 more
doaj   +10 more sources

A Theorem on Indifference Graphs

open access: diamondThe PUMP Journal of Undergraduate Research, 2021
An indifference graph P has as vertices a set of points on the real line, with an edge between every two points at most 1 apart.  For every point x in P, we set N(x) to be the set of points that are adjacent to x.   Fix an indifference graph P, and a positive integer k.  Suppose that for every x in P, k divides |N(x)|.
Kieran Hilmer   +2 more
semanticscholar   +5 more sources

Packing triangles in low degree graphs and indifference graphs [PDF]

open access: diamondDiscrete Mathematics & Theoretical Computer Science, 2005
We consider the problems of finding the maximum number of vertex-disjoint triangles (VTP) and edge-disjoint triangles (ETP) in a simple graph. Both problems are NP-hard.
Gordana Manić, Yoshiko Wakabayashi
doaj   +5 more sources

Characterizing and edge-colouring split-indifference graphs

open access: closedDiscrete Applied Mathematics, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Z. Carmen Ortiz   +2 more
semanticscholar   +4 more sources

The asymptotic probability that a random graph is a unit interval graph, indifference graph, or proper interval graph

open access: closedDiscrete Mathematics, 1982
AbstractLet G be a graph on v labelled vertices with E edges, without loops or multiple edges. Let v → ∞ and let E=E(v) be a function of v such that lim E(v)v23=c. The limit of the probability that a random graph is a unit interval graph, indifference graph or proper interval graph is exp(−43c3).
Joel E. Cohen
semanticscholar   +3 more sources

The total chromatic number of split-indifference graphs

open access: closedDiscrete Mathematics, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
C.N. Campos   +3 more
semanticscholar   +4 more sources

Pairwise partition graphs and strategy-proof social choice in the exogenous indifference class model [PDF]

open access: closedSocial Choice and Welfare, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anup Pramanik, Arunava Sen
semanticscholar   +4 more sources

On edge-colouring indifference graphs

open access: closedTheoretical Computer Science, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Celina M.H. de Figueiredo   +2 more
semanticscholar   +3 more sources

Decompositions for the edge colouring of reduced indifference graphs

open access: closedTheoretical Computer Science, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Celina M.H. de Figueiredo   +3 more
semanticscholar   +4 more sources

A Symmetric Function of Increasing Forests [PDF]

open access: yesForum of Mathematics, Sigma, 2021
For an indifference graph G, we define a symmetric function of increasing spanning forests of G. We prove that this symmetric function satisfies certain linear relations, which are also satisfied by the chromatic quasisymmetric function and unicellular $\
Alex Abreu, Antonio Nigro
doaj   +2 more sources

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