# Acta Mathematicae Applicatae Sinica, English Series

Acta Mathematicae Applicatae Sinica, English Series > 2019 > 35 > 2 > 274-286

Acta Mathematicae Applicatae Sinica, English Series > 2019 > 35 > 2 > 374-385

Acta Mathematicae Applicatae Sinica, English Series > 2019 > 35 > 2 > 359-373

Acta Mathematicae Applicatae Sinica, English Series > 2019 > 35 > 2 > 465-474

*d*

_{1},

*d*

_{2},...,

*d*

_{n}) of nonnegative integers is said to be

*potentially hamiltonian-graphic*(resp.

*potentially pancyclic-graphic*) if it is realizable by a simple graph on

*n*vertices containing a hamiltonian cycle (resp. containing cycles of every length from 3 to

*n*). A.R. Rao and S.B. Rao (J. Combin. Theory Ser.B, 13(1972), 185-191) and Kundu (Discrete Math., 6(1973), 367-376)...

Acta Mathematicae Applicatae Sinica, English Series > 2019 > 35 > 2 > 412-420

*n*-player price competition as the saddle point of differential games, and acquired the optimal price and demand at equilibrium. Analysis on optimal price and demand shows that, to obtain more...

Acta Mathematicae Applicatae Sinica, English Series > 2019 > 35 > 2 > 444-451

*G*be a graph on

*n*vertices.

*G*is called claw-

*o*

_{−1}-heavy if every induced claw (

*K*

_{1,3}) of

*G*has a pair of nonadjacent vertices with degree sum at least

*n*− 1 in

*G*. In this paper we show that a claw-

*o*

_{−1}-heavy graph

*G*is traceable if we impose certain additional conditions on

*G*involving forbidden...

Acta Mathematicae Applicatae Sinica, English Series > 2019 > 35 > 2 > 435-443

Acta Mathematicae Applicatae Sinica, English Series > 2019 > 35 > 2 > 458-464

*G*be a graph, and

*k*a positive integer. A graph

*G*is fractional independent-set-deletable

*k*-factor-critical (in short, fractional ID-

*k*-factor-critical) if

*G - I*has a fractional

*k*-factor for every independent set

*I*of

*G.*In this paper, we present a sufficient condition for a graph to be fractional ID-

*k*-factor-critical, depending on the minimum degree and the neighborhoods of independent sets....

Acta Mathematicae Applicatae Sinica, English Series > 2019 > 35 > 2 > 386-400

Acta Mathematicae Applicatae Sinica, English Series > 2019 > 35 > 2 > 287-304

Acta Mathematicae Applicatae Sinica, English Series > 2019 > 35 > 2 > 319-326

Acta Mathematicae Applicatae Sinica, English Series > 2019 > 35 > 2 > 340-358

Acta Mathematicae Applicatae Sinica, English Series > 2019 > 35 > 2 > 264-273

Acta Mathematicae Applicatae Sinica, English Series > 2019 > 35 > 2 > 421-434

Acta Mathematicae Applicatae Sinica, English Series > 2019 > 35 > 2 > 401-411

Acta Mathematicae Applicatae Sinica, English Series > 2019 > 35 > 2 > 255-263

Acta Mathematicae Applicatae Sinica, English Series > 2019 > 35 > 2 > 327-339

*L*

^{1}[0, 1] space is obtained. This method is based on the approximation of the integral operator by modified interpolatory projection. Different from traditional...

Acta Mathematicae Applicatae Sinica, English Series > 2019 > 35 > 2 > 305-318

Acta Mathematicae Applicatae Sinica, English Series > 2019 > 35 > 2 > 452-457

*G*= (

*V, E)*without isolated vertex, a function

*f*:

*E*(

*G*) → {−1, 1} is said to be a

*signed star dominating function*of

*G*$$\sum\limits_{e \in E(v)} {f(e) \ge 1} $$ for every

*v*∈

*V*(

*G*), where

*E*(

*v*) = {

*uv*} ∈

*E*(

*G*)∣

*u*∈

*V*(

*G*)}. The minimum value of $$\sum\limits_{e \in E(G)} {f(e)} $$ , taken over all signed star dominating functions

*f*of

*G*, is called the

*signed star domination number*of

*G*and...