A short proof of a result on a Vizing-like problem for integer total domination

2008 ◽  
Vol 20 (3) ◽  
pp. 321-323 ◽  
Author(s):  
Michael A. Henning
Keyword(s):  
Short Proof ◽  
Total Domination

A note on generalized quasi-contraction

Filomat ◽  
2017 ◽  
Vol 31 (11) ◽  
pp. 3091-3093
Author(s):  
Dejan Ilic ◽  
Darko Kocev
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Short Proof

In this paper we give a short proof of the main results of Kumam, Dung and Sitthithakerngkiet (P. Kumam, N.V. Dung, K. Sitthithakerngkiet, A Generalization of Ciric Fixed Point Theorems, FILOMAT 29:7 (2015), 1549-1556).

Short proof that Kneser graphs are Hamiltonian for n ⩾ 4k

2021 ◽  
Vol 344 (7) ◽  
pp. 112430
Author(s):  
Johann Bellmann ◽  
Bjarne Schülke
Keyword(s):  
Short Proof ◽  
Kneser Graphs

scholarly journals Strongly perfect claw‐free graphs—A short proof

2021 ◽  
Author(s):  
Maria Chudnovsky ◽  
Cemil Dibek
Keyword(s):  
Short Proof

scholarly journals A short note on extreme points of certain polytopes

2020 ◽  
Vol 8 (1) ◽  
pp. 36-39
Author(s):  
Lei Cao ◽  
Ariana Hall ◽  
Selcuk Koyuncu
Keyword(s):  
Short Proof ◽  
Convex Polytopes ◽  
Short Note ◽  
Convex Polytope ◽  
Extreme Points ◽  
Alternative Proof ◽  
Stochastic Matrices ◽  
Doubly Stochastic ◽  
Birkhoff's Theorem ◽  
Birkhoff’S Theorem

AbstractWe give a short proof of Mirsky’s result regarding the extreme points of the convex polytope of doubly substochastic matrices via Birkhoff’s Theorem and the doubly stochastic completion of doubly sub-stochastic matrices. In addition, we give an alternative proof of the extreme points of the convex polytopes of symmetric doubly substochastic matrices via its corresponding loopy graphs.

On graphs with equal total domination and Grundy total domination numbers

2021 ◽  
Author(s):  
Tanja Dravec ◽  
Marko Jakovac ◽  
Tim Kos ◽  
Tilen Marc
Keyword(s):  
Total Domination ◽  
Domination Numbers

scholarly journals On equality in an upper bound for the restrained and total domination numbers of a graph

2007 ◽  
Vol 307 (22) ◽  
pp. 2845-2852 ◽  
Author(s):  
Peter Dankelmann ◽  
David Day ◽  
Johannes H. Hattingh ◽  
Michael A. Henning ◽  
Lisa R. Markus ◽  
...  
Keyword(s):  
Upper Bound ◽  
Total Domination ◽  
Domination Numbers
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