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Start Over Coverage 271-287

1. The Fourier integral operators on Hardy spaces associated with Herz spaces

Creator:
Liu, Lixia, Ma, Bolin, and Liu, Sanyang
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
Fourier integral operator, Hardy spaces, and Herz spaces
Language:
English
Description:
In this paper, it is proved that the Fourier integral operators of order $m$, with $-n < m \leq -(n-1)/2$, are bounded from three kinds of Hardy spaces associated with Herz spaces to their corresponding Herz spaces.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. The upper traceable number of a graph

Creator:
Okamoto, Futaba, Zhang, Ping, and Saenpholphat, Varaporn
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
traceable number, upper traceable number, and Hamiltonian number
Language:
English
Description:
For a nontrivial connected graph $G$ of order $n$ and a linear ordering $s\: v_1, v_2, \ldots , v_n$ of vertices of $G$, define $d(s) = \sum _{i=1}^{n-1} d(v_i, v_{i+1})$. The traceable number $t(G)$ of a graph $G$ is $t(G) = \min \lbrace d(s)\rbrace $ and the upper traceable number $t^+(G)$ of $G$ is $t^+(G) = \max \lbrace d(s)\rbrace ,$ where the minimum and maximum are taken over all linear orderings $s$ of vertices of $G$. We study upper traceable numbers of several classes of graphs and the relationship between the traceable number and upper traceable number of a graph. All connected graphs $G$ for which $t^+(G)- t(G) = 1$ are characterized and a formula for the upper traceable number of a tree is established.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public